-x + 2y = 21
5x + 6y = 23

Answers

Answer 1

Answer:

(-5, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equation by graphing

Step-by-step explanation:

Step 1: Define systems

-x + 2y = 21

5x + 6y = 23

Step 2: Rewrite systems

-x + 2y = 21

Subtract 2y on both sides:                    -x = 21 - 2yDivide -1 on both sides:                         x = -21 + 2yRearrange:                                              x = 2y - 21

Step 3: Redefine systems

x = 2y - 21

5x + 6y = 23

Step 4: Solve for y

Substitution

Substitute in x:                         5(2y - 21) + 6y = 23Distribute 5:                             10y - 105 + 6y = 23Combine like terms:                16y - 105 = 23Add 105 on both sides:           16y = 128Divide 16 on both sides:          y = 8

Step 5: Solve for x

Define original equation:                    5x + 6y = 23Substitute in y:                                     5x + 6(8) = 23Multiply:                                                5x + 48 = 23Subtract 48 on both sides:                 5x = -25Divide 5 on both sides:                       x = -5

Step 6: Graph systems

Check the solution set.

-x + 2y = 215x + 6y = 23
Answer 2
( x , y ) = ( -5 , 8 )

Related Questions

Write the ratio as a fraction in simplest form. A class has 8 boys and 14 girls. What is the ratio of boys to girls?

Answers

Answer:

4/7

Step-by-step explanation

8:14

8/14

4/7

So the answer is 4/7

CH4 + O2 → CO2 + 2 H2O

Answers

CH4+2O2—>CO2+2H2O will be your answer

Help with evaluate and graph PLEASE HURRY

Answers

Answer:

Box 1 = -1

Box 2 = 8

Box 3 = 14

1.682 inches rounded to the nearest whole number is 1 inches?

Answers

It's closer to 2, so it would be rounded from 1.682 in to 2 in.

Answer:

No, its most likely 2

Step-by-step explanation:

6 is closer to 10

hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper

If LIAR is a parallelogram, what is the value of X?
R
A
377x+3)
(2x+3
O A. 42
O B. 20
O c. 71.5
O D. 35
O E. 82
O F. 38.

Answers

The answer is B) 20 .

37 + (7x + 3) = 180

7x = 180 - 37 - 3

7x = 140

x = 20

Therefore, x = 20.

Answer:

20

Step-by-step explanation:

if you do it ill mark you brainly plz do it​

Answers

Answer:

A

Step-by-step explanation:

To find the change, we do final-beggining

since his first rating is -7 and his final rating is -2

-2-(-7)

Sales for May were $8,475. Calculate the markdown percent for May if the buyer took the following markdowns during the month: 21 shirts from $38 to $21, 15 shorts from $25 to $17, 32 halter tops from $32 to $22, 7 pants from $60 to $40, 8 skirts from $50 to $40

Answers

Answer:

kailangan mo ba sagot luh asa ka

Step-by-step explanation:

d kailangan ng brainy Kasi lahat ng tao asa lng

1.682 inches rounded to the nearest whole number is 1 inches?

Answers

Answer:

True

Step-by-step explanation:

5 or higher round up 4 or lower round down

Which statement is most likely to show a constant rate of change???

A. The outside temp compared with the time of day.

B. The cost of a new car compared with the number of tires it has.

C. The weight of a child compared with its age in months.

D.The distance traveled by a truck driving at a constant speed compared with time.

Answers

I believe you answer would be D) The distance traveled by a truck driving at a constant speed compared with time.

Please I really need help
For both questions please

Answers

Answer:

2 is A, 3 is C

Step-by-step explanation:

2 is A, and 3 is C. Hope this helps!

2. Determine whether each table of values represents a linear function. If so write the function. If not, explain why.

Answers

Answer:

lemme think i will anwser

Step-by-step explanation:

A linear function has a constant rate of change.

Table N represents a linear function

From the complete question (see attachment), we have the following highlights

Table M has the same x-values for y-values 2 and -3For each increment in the x-values of table N, there is a constant increment in the y-values.

The above highlights mean that:

Table M does not represent a linear function because it does not have a constant rateTable N represents a linear function because it has a constant rate

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Daniela y Jorge can en bicicleta y salen del mismo lugar, Daniela avanza 6km y luego retrocede 2km mientras que Jorge avanza 8km y retrocede 5km.

¿A que distancia se encuentra uno del otro?

¿Quien ha avanzado más de los dos?

¿Quien ha recorrido más km?

Answers

Answer:

a) 1 km

b) Amaya

c) Jorge

HOPE THIS HELPS ;P

A class roll has 30 students listed in alphabetical order. Exactly 5 of those students received A's in the course. What is the probability that at least two people who were adjacent on the alphabetical list both received A's?

Answers

Answer:tony stark

Step-by-step explanation:shake it out west

Square root of 24 using perfect squares

Answers

24 is not a perfect square.

What is a Perfect Square ?

A perfect square is a number that can be written as a product of an integer and another integer itself.

To determine the square root of 24

24 = 6 * 4

6 square can be drawn of 4 small squares

[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]

Therefore 24 is not a perfect square.

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at the amusement park there were t shirts for sale for 18.95 each james bought 4 of them about how much did he spend?? ​

Answers

18.95 time 4 he spend $75

Determine the slope of the line that contains the given points
(1-7) (5-7)

Answers

Answer:

the answer is 4

Step-by-step explanation:

Rise/run

y2-y1/x2-x1

7-7/1/5

4

Answer:

0/4

Step-by-step explanation:

7/5 - 7/1

Making the answer become 4

Which is an equation of the line with a slope of 2 that passes through ( 3 , 1 )?

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

let the solution be [tex] ax + by - c = 0 [/tex]

let the solutions be a = 3, b = 1

[tex] 3x + y = 0 [/tex] is the equation with consistent value.

Answer:

the answer is -1

Step-by-step explanation:

im just tyna get my points thats all

On picture day, the students are placed in order from tallest to shortest. Place the following students in order from tallest to shortest.

Javien is 4 2/3 feet tall
Danny is 3 11/12 feet tall
Samiya is 4 1/6 feet tall
Taylor is 4 7/8 feet tall

Answers

Answer:

4 7/8, 4 2/3, 4 1/6, 3 11/12

Step-by-step explanation:

To make it easier, convert it into decimals

4 2/3=4.666...

3 11/12=3.9166...

4 1/6=4.166...

4 7/8=4.875

Solve the rational equation 2x+3/5=7/5
X=2
X=3.2
X=5
X=5.1

Answers

Answer:

x=0.4

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

What is the product of 7×-6 1/8

Answers

Answer:

-42.875 or -42 7/8

Step-by-step explanation:

you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.

The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.

We have expression: 7 x -(6 1/8).

First, write the mixed fraction into improper fraction as

Numerator = 8 x 6 + 1 = 49

Denominator = 8

Now, the product will be

7 x -(6 1/8)

= 7 x (-49/8)

= 7 x (-6.125)

= -42.875

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PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Evaluate.

(−2)^6

Enter your answer in the box.

Answers

Answer:

-64

Step-by-step explanation:

I used a calculator lol.

The correct answer is 64
(-2)^6 take out the negative sign( you can't raise the exponent of a negative number)
2^6

2x2=4, 4x2=8, 8x2=16, 16x2= 32, and 32x2=64

Hope this helps :D

m< AED = 16y + 10. Find the value of y so that ED I AB.

Answers

Full question attached:

Answer and explanation:

To calculate y in the equation <AED=16y+10 we first find the value of angle AED from the diagram(attached)

From the diagram, we can see that <AED = 180 degrees given that <AED is angle on a straight line=180 degrees.

The line AB is therefore perpendicular to line ED

Hence we calculate y in the equation <AED= 16y+10

180= 16y+10

180-10=16y

16y=170

y=170/16

y= 10.625

The opera theater manager believes that 23#% of the opera tickets for tonight's show have been sold. If the manager is accurate, what is the probability that the proportion of tickets sold in a sample of 869869 tickets would differ from the population proportion by less than 3%3%

Answers

Answer:

0.9642

Step-by-step explanation:

Sample proportion p follows a Normal distribution with mean = p0 = 0.23 and Standard deviation = √P0(1 - P0) / n = √0.23(1-0.23) / 869 = 0.0143

Then Z = p - mean / Standard deviation = X - 0.23 / 0.01343

P(0.2<p<0.26) = P(p<0.26) - P(p<0.2)

= P(p-023/0.0143 < 0.26-0.23/0.0143) - P(p-0.23/0.0143 < 0.2-0.23/0.0143)

= P(Z < 2.1) - P(Z < -2.1)

= 0.9821 - 0.0179

= 0.9642

E
2) Mrs. Anderson spent $305.70 at
Target. If the sales tax is 6%, what was
her final bill?

Answers

305.70 * .06 = 18.34
305.70 + 18.34 = 324.04

write 6.085 in word form

Answers

six and eighty-five thousandths

There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail

Answers

So there is a total of 6 ears, 12 paws, and 3 tails in the room.

Answer:

In the room there should be 6 ears, 12 paws, and 3 tails in total.

Simplify this expression

[tex]2 \sqrt{5(13 + \sqrt{2)} } [/tex]

Answers

Answer:

16.9789

You can round the answer

Answer:

D. [tex]26\sqrt{5} + 2\sqrt{10}[/tex]

Step-by-step explanation:

[tex]2\sqrt{5}(13+\sqrt{2})\\ \\26\sqrt{5}+2\sqrt{5}*\sqrt{2}\\\\\\26\sqrt{5}+2\sqrt{5}*2\\\\26\sqrt{5}+2\sqrt{10}[/tex]

Estimate the square root of 24 to the nearest tenth

Answers

Answer:The answer is 4.9

Step-by-step explanation: Step 1: Calculate. We calculate the square root of 24 to be: √24 = 4.89897948556636.

Step 2: Reduce. 4.89.

Step 3: Round. Round 4.89 so you only have one digit after the decimal point to get the answer: 4.9.

Which of the following is not a method used on graphs to lead the reader to misinterpret the graph?
a.
Use inconsistent scales on one or both axes.
b.
Reverse the x- and y-axes to obtain a more convincing graph.
c.
Comparing two sets of related data on the same graph for the sake of comparison.
d.
Begin the scale of one or both axes at a number other than zero without notifying the reader.
its C

Answers

Answer:

Answer C is right

Step-by-step explanation:

edg 2021 got it right, its c

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

What is graph?

A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.

Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

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Help me please!! I’ll mark as brilliant!!

Liam’s mass is 102.1 kg
Choose the best approximation of Liam’s mass

A. 1 x 10^1
B. 1 x 10^2

Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg
Choose the best approximation of earth’s mass

A. 6 x 10^21
B. 6 x 10^24

Approximately how many times as large is earth’s mass as liam’s mass?

A. 6 x 10^20
B. 6 x 10^21
C. 6 x 10^22

Answers

First one is B second one is B last one is C do you want me to explain

The answers are :

1. Liam has approximated mass equal to 1 × 10² kg.

2. Earth has approximated mass equal to 6 × 10^24 kg

3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

1)

Liam's mass is 102.1.

To represent the decimal number in approximation we need to multiply the first digit by power of 10 by moving the decimal place.

i.e., decimal number 102.1 can be written as :

= 1.02 × 10² kg

because decimal place moved towards left by 2 places.

or

= 1 × 10² kg

2)

Earth has an estimated mass of 5,972,000,000,000,000,000,000,000 kg.

This can be written as :

= 5.97 × 10^24

or

= 6 × 10^24 kg

3)

The earth's mass is larger than Liam's mass by :

= [tex]\frac{6 * 10^{24}}{1*10^{2} }[/tex]

= 6 × [tex]\frac{10^{24} }{10^{2} }[/tex]

= 6 × [tex]10^{22}[/tex]

Therefore , the answers are :

1. Liam has approximated mass equal to 1 × 10² kg.

2. Earth has approximated mass equal to 6 × 10^24 kg

3. Earth's mass is larger than Liam's mass by 6 × [tex]10^{22}[/tex].

Learn more about algebra here :

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