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Chapter 5: Q. 5.31 (page 602)

Solve the system by substitution.

x鈭�5y=134x鈭�3y=1

Short Answer

Expert verified

The solution set is -2,-3.

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

x鈭�5y=134x鈭�3y=1

02

Step 2. Firstly solving the equation x−5y=13 for the variable x. 

Add5yonbothsidex鈭�5y+5y=13+5yx=13+5y

03

Step 3. Putting the value of x in the equation x=13+5y.

4(13+5y)鈭�3y=152+20y鈭�3y=152+17y=1Subtract52onbothside52+17y-52=1-5217y=-511717y=-5117y=-3

04

Step 4. Putting the value of y on the equation x=13+5y.

x=13+5-3x=13-15x=-2

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