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2 years ago

CONNECTING CONCEPTS Write a system of linear equations.

Mathematics

1 answer:

Marina86 [1]2 years ago

5 0

Answer:

x = 30

y = 54

Step-by-step explanation:

You want the solution to the system of equations ...

2x +12 +2y = 180
4x +y +6 = 180

<h3>Solution</h3>

Divide the first equation by 2 and subtract the result from the second equation.

(4x +y +6) -(2x +12 +2y)/2 = (180) -(180)/2

3x = 90 . . . . . . . simplify

x = 30 . . . . . . . . divide by 3

4(30) +y +6 = 180 . . . . substitute into the second equation

y = 180 -126 = 54

The values of x and y are ...

x = 30

y = 54

<em>Additional comment</em>

A suitable graphing calculator can find the solution using the equations "as is."

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