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CONNECTING CONCEPTS Write a system of linear equations.

CONNECTING CONCEPTS Write a system of linear equations.-example-1
User Mddw
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1 Answer

3 votes

Answer:

x = 30

y = 54

Explanation:

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

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

Solution

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

__

Additional comment

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

CONNECTING CONCEPTS Write a system of linear equations.-example-1
User Morgler
by
8.1k points

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