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Chapter 5: Q. 5.35 (page 604)

Solve the system by substitution.

x鈭�4y=鈭�4鈭�3x+4y=0

Short Answer

Expert verified

The solution set is (2,32).

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

x鈭�4y=鈭�4鈭�3x+4y=0

02

Step 2. Firstly solving the equation x−4y=−4 for the variable x. 

Add 4yon both side

x鈭�4y+4y=鈭�4+4yx=鈭�4+4y

03

Step 3. Putting the value of x in the equation −3x+4y=0.

鈭�3(鈭�4+4y)+4y=012-12y+4y=012-8y=0Add8yonbothside12-8y+8y=0+8y12=8y8y=12Divideby8onbothside88y=128y=32

04

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

x=-4+4脳32x=-4+2脳3x=-4+6x=2

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