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Dmitrij [34]
3 years ago
9

5.Solve the system using substitution.

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
Equation 1)  y - 2x = 3
Equation 2)  3x - 2y = 5

Switch around x and y in equation 1.

1)  -2x + y = 3

2)  3x - 2y = 5

Multiply ALL of equation 1 by 2.

1)  2(-2x + y = 3)

Simplify.

1)  -4x + 2y = 6

2)  3x - 2y = 5

Add equations together.

-x = 11

Divide both sides by -1.

x = -11

Plug in -11 for x in the first equation.

-4x + 2y = 6

-4(-11) + 2y = 6

Simplify.

44 + 2y = 6

Subtract 44 from both sides.

2y = 6 - 44

Simplify.

2y = -38

Divide both sides by 2.

y = -38/2

y = -19

So, x = -11, y = -19

D : (-11, -19)

~Hope I helped!~
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Yolanda finished 3/4of 10 1/2mile race how many mile sdid she complete
Mila [183]

Answer:

She completed 7.5 3/8 miles of the race.

Step-by-step explanation:

This can be solved with multiplication.

10 * 3/4 = 7.5

1/2 * 3/4 = 1 * 3/2 * 4 = 3/8

7 0
3 years ago
Evaluate the expression<br>7 + 10 /5​
Anestetic [448]

Answer:

9

Step-by-step explanation:

Use PEMDAS (Parenthesis, exponent, multiplication, devision, addition, subtraction)

So....

7 + 2 .... Simplified ( 10/5 =2)

9 ..... Added

Hope this helps!

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Science notation is a good way to write what kinds of numbers? Select more then one answer
Marysya12 [62]
E:very large numbers

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3 years ago
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Express the volume of the box as a<br>polynomial in the variable x
Whitepunk [10]

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

Read more about polynomial at:

brainly.com/question/4142886

#SPJ1

7 0
2 years ago
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