3) Solve this system using elimination method. Upload your work
8x + 14 y = 4
-6x - 7y=-10

Answers

Answer 1

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!


Related Questions

the maximum speed of a car is 252 km/h change this speed into meters per second

Answers

Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.​

Answers

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

4(x+6)=3x-7 please could you help me

Answers

Hello!

Let's use the Distiributive property:

4(x+6)

4x+24

4x+24=3x-7

Move all the variables to the left:

4x-3x=-7-24

x=-31

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

How to solve quadratic inequalities.

Answers

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.

FOR A BRAINLST PLS BE ACCURATE

Answers

Answer:

the answer is the third

hope it help

Determine whether 5^25m^2 • 5^25m is equivalent to each of the following expressions.
I’ll give brainliest

Answers

Answer:

None of the listed expressions

Step-by-step explanation:

Using the Product Law of Exponents, we can simplify 5^25m^2 • 5^25m into 5^(25m^2 + 25m).

Simplify:

5^25m(m + 1)

In this case, none of the following responses are equivalent. The first two are incorrect because you can't add variables that are set to different powers and the last one is incorrect because if you wanted to change the base from 5 to 25, you would divide the exponent by 2 instead of take the square root.

Answer:

Step-by-step explanation:

Answer these question

Answers

c = 1 > 7 =

According to very reliable sources.

t > 28

if you multiply 7•4 then you get 28 (and photo math agrees)

HELP!!
Formula
Y=___x +___

Answers

I believe it’s y = mx + b.

Answer:

look at the slope rise of 2 run of -1 or other way around so slope is

[tex] y = - \frac{2}{1}x + 5[/tex]

Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...

  B.  (6·1/3)·7/5

what is the equation of line that passes through(-6,-3) and is parrelel to the line 5x-3y=9

Answers

Answer:

y+3=5/3(x+6)

Step-by-step explanation:

Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.

5x-3y=9

5x=9+3y

5x-9=3y

y=5/3x-3, and the slope would be 5/3.

Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.

y+3=5/3(x+6)

Answer: [tex]\frac{5}{3}[/tex]x + 7

Step-by-step explanation:

The table shows a set of points on a line. What is the slope of the line?

Answers

Answer:

-3

Step-by-step explanation:

take a set of points (2,3) (3,-6)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-6-(-3)}{3-2}[/tex]

[tex]\frac{-3}{3-2}[/tex]

[tex]\frac{-3}{1}[/tex]

-3

If 2/15 is 40 then 1/15 is?

(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Solve for q
a-q=a+sx

Answers

Answer: q = -sx

Step-by-step explanation:

A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.

Answers

The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

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Round 0.817446 to the ten-thousandths place. Please I need this fast!!!!

Answers

It would be 0.817 :) hope this helps!

1D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?

Answers

The least prime greater than 17 that is the sum of four different prime numbers is 23

The least prime that is the sum of four different prime numbers is 17

That is, 17 = 2 + 3 + 5 + 7

Prime numbers greater than 17 are 23, 29, 31. 37, 41,........

Prime numbers less than 17 are 2, 3, 5, 7, 11, 13

How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17

The only possible combination is:

2  +  3  +  7  +  11   =  23

Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23

Learn more here: https://brainly.com/question/25664167

Point C has a _____ abscissa and a _____ ordinate.



positive, negative
positive, positive
negative, positive
negative, negative

Answers

Answer:

i think its b but im not that sure

Step-by-step explanation:

A graph representing a proportional relationship goes through the origin:

Question 2 options:

Always


Sometimes


Never


When it feels like it

Answers

The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

A proportional relationship graph represents a relation between two variables that are directly proportional to each other.In a proportional graph, the constant of proportionality, k, remains the same.The graph attached below shows a proportional graph between time and water used.

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

Therefore, the graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Learn more about proportional relationship on:

https://brainly.com/question/15618632

Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.

Answers

76.5 I think is the answer
There is no specified question. If it’s asking how many cds can be bought, then the answer is 4.

For every 1000 veiws a tv showgets it makes £2 from ad revenue.
How many veiws are required to make £21?

Answers

Answer:

10500 views.

Step-by-step explanation:

If 1000 views is £2 then 500 views would be £1 so 2 x 10 = 20 so 10,000 views and 500 more to make it £21 pounds.

In a parallelogram ABCd, angle a + angle b = ?​

Answers

Answer:

180

Step-by-step explanation:

Easy way: they're conjugate angles relative to the two parallel sides and the trasversal joining them, their sum is 180.

Longer(??) way: In a parallelogram two opposite angles are congruent. Since the sum of the internal angles is 360, a pair of two different angles must sum to 180.

Step-by-step explanation:

In a Parallelogram ABCD , ∠ A + ∠B = 180°

Since , The Adjacent angles in a Parallelogram are Supplementary.

Additional comment:

• In a Parallelogram, Opposite angles are equal

•The sum of two adjacent angles is 180° called Linear pair.

what is the answer ?????​

Answers

Q. 1 [tex] \frac{19}{20} \times 100 = 19 \times 5 = 95\% \\ [/tex]

Q. 2). 30 - 24 = 6

[tex] \frac{6}{30} \times 100 = \frac{1}{5} \times 100 = 20 \\ [/tex]

The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.​

Answers

Step-by-step explanation:

4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%

The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?

Answers

Answer:

-13

Step-by-step explanation:

Answer:

-22 F

Step-by-step explanation:

basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)

Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?

Answers

Answer: I think why the denominator changed because it subtracted one whole? That could be possible, so therefore she possibly watched 3/4 or 4/4 or 1 (1 whole) whatever way they word it
UwU

you plan to purchase a plane ticket $299.00and you are going to use a discount code to receive 15% off

Answers

Answer: The answer is $254.15

You can buy a seat cushion at the College Softball World Series for $4. They
paid $2.50 to have them made, and they make a profit of $300 when sold out.
How many seat cushions did they have made?

Answers

Answer:

$118.40

2.50x Plus 4 Equal 300

2.50x Equal 296

2.50x/2.50 Equal $118.40

PLEASE TELL ME IF I AM WRONG!

A company sells three types of gift baskets. The basic basket has two movie passes and one package of microwave popcorn, and costs $15.50. The medium basket has two movie passes, two packages of microwave popcorn, and one DVD, and costs $37. The super basket has four movie passes, three packages of microwave popcorn, and two DVDs, and costs $72.50.



Create a system of equations and solve using matrices to find the price of each basket item.

Answers

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.

For the basic:

2x + y = 15.50    (1)

For medium:

2x + 2y + z = 37    (2)

For super:

4x + 3y + 2z = 72.50  (3)

[tex]\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =[/tex]

The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.

Find out more at: https://brainly.com/question/21105092

(-5)^-2
Please help me

Answers

Answer:

0.04

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

don't want to write it

Which equation has the solution x = 5?
Select each correct answer.


18−2x=9

x/5+5=6

32−4x=12

11 + 6x = 22

3x + 1 = 9

25/x+4=9

Answers

25/x+4=9 I believe is the answer
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