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Chapter 5: Q. 5.32 (page 602)

Solve the system by substitution.

x鈭�6y=鈭�62x鈭�4y=4

Short Answer

Expert verified

The solution set is (6,2).

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

x鈭�6y=鈭�62x鈭�4y=4
02

Step 2. Firstly solving the equation x−6y=−6 for the variable x. 

Add 6yon both side

x鈭�6y+6y=鈭�6+6yx=鈭�6+6y

03

Step 3. Putting the value of x in the equation 2x−4y=4.

2(鈭�6+6y)-4y=4鈭�12+12y-4y=4鈭�12+8y=4Add12onbothside鈭�12+8y+12=4+128y=16Divideby8onbothside88y=168y=2

04

Step 4. Putting the value of y on the equation x=-6+6y.

x=-6+6脳2x=-6+12x=6

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