solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Answers

Answer 1

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6


Related Questions

Hello, would be very nice if someone could help me ! :)

A finite geometric series is the sum of a sequence of numbers. Take the sequence
1, 2, 4, 8, ..., for example. Notice that each number is twice the value of the
previous number. So, a number in the sequence can be represented by the
function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th
number in the sequence is ∑^5 n-1 2^n-1.
This equation can also be written as S5 = 2^0+2^1+ 2^2+ 2^3+ 2^4. If we multiply this equation by 2. the equation becomes 2(S5) = 2^1+ 2^2+ 2^3+ 2^4+ 2^5

What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the
form ∑^a n-1 b^n-1 ?

Answers

Answer:

Step-by-step explanation:

2S₅ - S₅ = 2⁵ - 2⁰

        S₅ = 2⁵ - 1

Sₙ = (bᵃ - 1) / (b - 1)

14.9 x 100 PLS HELP

Answers

Answer:

just move the decimal to the right two place, for two zeroes. The answer is 1490.

Step-by-step explanation: Just simply multiply 14.9 by 100.

Answer:

1490.Step-by-step explanation:multiply 14.9 by 100



1. What is the value of x that satisfies the equation? Must show all proper work/steps!

32^2x = 16^2x+8

Student's Work

Student's Answer

A. x = 4

B. x =- 4

C. x = 16

D. x = 1

Please explain all steps

Answers

[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]

Answer:

x = 16

Hope you could get an idea from here.

Doubt clarification - use comment section.

x+18-3x=20 help me out

Answers

the bbc lenth is 19 which i like in my mouth an deven my throayt

The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?

Answers

Answer:

30/5=68x6=48 feet

Step-by-step explanation:

divide the demesions

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.

Answers

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

Which equation describes the line shown in the graph?

Answers

Answer:

D

Step-by-step explanation:

:)

ChallengE
See attachment and answer :)​

Answers

QuestionSimplify:

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

Answer :

[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]

Step-by-step-explanation:

We have given an expression.

We have to simplify the expression.

The given expression is

[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]

We know that,

[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]

[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs.
Let x be the calf's age and y be the weight.
a. Write an equation in slope-intercept form that represents the situation.

Answers

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743

You can walk 1/34 miles in 1/2 hour. What is your average speed?

Answers

1 3/4 x 2 = 3 1/2 mph i believe

Rewrite this equation in Slope-intercept form
(PLEASE SHOW ALL WORK)

Answers

y=3/2x - 1/5

have a great day :)

Examine the figure. What is the measure of angle a?

Answers

Answer:

59

Step-by-step explanation:

90+31=121

180-121=59

Answer:

a=59

basic fact:

angles on a straight line add up to 180

Step-by-step explanation:

we can ignore b for a start

31+90+a=180

121+a=180

121+59=180

a=59

Help help help math math help

Answers

82
Hope this helps!!!
Hi dear the answer is eighty two!

I need Help Asapp
Please!!!!!!!!!!!!!!!!!!​

Answers

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]

You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?​.

Answers

Answer:

2

Step-by-step explanation:

I got it right bro man my guy I got you

If you sleep 30% of the day. how many hours did you sleep?


answer fast please

Answers

Answer:

7.2 hours

Step-by-step explanation:

24 · 0.3 = 7.2

cant seem to figure this out​

Answers

Answer:

log14=1.146

log18=1.255

Step-by-step explanation:

Use log rules to break up the given logs, to be able to use the information give

Using the product rule, log14 = log(7 x 2) = log7 + log2

Substitute .845 + .301 = 1.146

Using the quotient rule, log18 = log(2 x 3 x 3) = log2 + log3 + log 3

Substite .301 + .477 + .477 = 1.255

Help bell bell help help help

Answers

the answer is x = 22

Answer:

answer is ‐10

Step-by-step explanation:

(x+14) =(5x-74)pick like terms together (x+5x)=(+14‐74)(6x)=(‐60)divide by 6answer is ‐10

In the number 777.77 how does the value of 7 in the tenths place compare to the value of 7 in the hundredths place

Answers

Answer:

630

Step-by-step explanation:

the value of 7 in the tenths place is 70

the value of 7 in the hundredths place is 700

compare 700 and 70

So 700-70 = 630

solve for x??????????

Answers

Answer:

x=4

Step-by-step explanation:

you take both equations, and make them equal to each other. so....

5x-6=3x+2 subtract 3x from both sides

2x-6=2 then add 6 to the other side.

2x=8 then divide 8 by 2.

X=8


inverse function of y = 3x​

Answers

Answer:

f-1(x) = 1/3x would be the answer

Step-by-step explanation:

Answer:

y= 1/3x

Step-by-step explanation:

inverse function perform the opposite.

3/1 becomes 1/3

What is the slope of the linear equation that has the values shown in the table

Answers

Answer:We noted above that a linear function has the form f(x)= mx+b, f ( x) = m x + b, where m m is the slope of the line, and b b is the y y -intercept. Since m m and b b can take on various values

Step-by-step explanation:

Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike

Answers

Children

Friends

Babies

Lunches

Bikes

How is 8/15 written as a mixed number?​

Answers

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

Determine which of the values is a solution of 4t+6 is less than or equal to 10.

Values:
1, -8, -4, 3, 0, 7

Answers

Answer:

1, 3, 7

Step-by-step explanation:

4t + 6≤10

4t≤4

t≤1

Therefore, t can either be equal to or greater than 1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4​

Answers

Answer:

A

Step-by-step explanation:

8/6 is also 1 1/3.

(assuming she doesn't include herself in the distribution).

write a quadratic equation in standard form.

1. -6 and 4 are solutions

2. 2 and 5 are solutions

1 and 2 are two different problems​

Answers

Answer:

  1.  x^2 +2x -24 = 0

  2.  x^2 -7x +10 = 0

Step-by-step explanation:

If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...

  (x -p)(x -q) = x^2 -(p+q) +pq

The x-term coefficient is the opposite of the sum of solutions.

The constant is the product of solutions.

This knowledge lets you write down the standard form equation with no particular effort.

1.  x^2 +2x -24 = 0

2.  x^2 -7x +10 = 0

Simplify the ratio:

42 : 28 : 21

Please explain step by step to get marked as brainliest!

Answers

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify

Graph the system. Use the graph to approximate
the solution of the equation.

Answers

Answer:

2.09

Step-by-step explanation:

And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.

Answer:

Plot a graph of the function y = log (x) and move it by 1 unit to the left.

Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.

The coordinates of the intersection of the graphs are the solution.

Solution: x=3

I think this your answer you did not really say your answer?????

Other Questions
How is the hocolate shell on the outside of the bar different from the ice cream on the inside? The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?(-1, -5)(5, 1)(1, 5)(1, -5) What is the total payment required to pay off a promissory note issued for $400.00 at 6% ordinary interest and a 90-day term? Definir racismo, si es sin palabras difciles mejor. The place where two plates come together is known as a: A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21? Need ASAP will give brainlist Modified True or False Direction: Write True if the statement is correct. If it is incorrect, underline the word that makes the statement untrue then write the correct word. Write your answer in your test notebook. ________1. Mango is an example of fruit with high acidity. ________2. Foods with low amounts of hydrogen ion have low ph. ________3. Oily products tend to spoil slowly when inadequately packaged. ________4. When foods undergo chemical processes, foods may already be considered spoiled. ________5. Secondary package allows for the unit packs to be carried in bulk. ________6. Use of the primary package is normally for bulk transport in large warehouses. ________7. Foil packaging is one of the oldest and most common methods of food packaging in homes. ________8. Manufacturers should appear on the label of the food package. ________9. Canned foods come in a limited variety. ________10. When labelling, instructions for use should appear on the food package. Last year we _____ (go) to the fair every Sunday Select True or False: The entropy of a perfectly ordered crystalline substance at 0 K is 0 J/mol. Bloom's Level: Understand 6 3/7 minus 1 3/6 equals _? Square of the difference of two terms Why was the silent market created? In three to five sentences, identify the acid, base, conjugate acid, and conjugate base. Use patterns in the periodic table to explain why the substances you identified acted as the acid and the base in this reaction. Give a possible answer (short sentence) for EACH interrogative in Spanish. QuinCmoDndeCundoCuntoQuPor quCmo eresCmo ests What effect did the Compromise of 1877 have on Reconstruction in the south? dentify the situation below that will result in a favorable variance. Multiple Choice Actual revenue is lower than budgeted revenue. Actual revenue is higher than budgeted revenue. Actual income is lower than expected income. Actual costs are higher than budgeted costs. Actual expenses are higher than budgeted expenses. what is the relationship between mitosis and cancer What is the next term of the geometric sequence?9/4,-4/3,4 Can you guys please help me answer this question please Compare cytoplasm to open land