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Chapter 5: Q. 72 (page 611)

In the following exercises, solve the systems of equations by substitution.
2x+y=鈭�23x鈭�y=7

Short Answer

Expert verified

The solution set is (1,鈭�4).

Step by step solution

01

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
2x+y=鈭�23x鈭�y=7

02

Step 2. Solving the equation 2x+y=−2 for the variable y.

Subtract2xonbothside2x+y-2x=鈭�2-2xy=鈭�2-2x

03

Step 3. Putting the value of y in the equation 3x−y=7.

3x鈭�(鈭�2-2x)=73x+2+2x=75x+2=7Subtract2onbothside5x+2鈭�2=7鈭�25x=5Divideby5onbothside55x=55x=1

04

Step 4. Putting the value of x in the equation y=−2-2x.

y=鈭�2-2脳1y=鈭�2-2y=鈭�4

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