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Chapter 5: Q. 5.36 (page 604)

Solve the system by substitution.

4x鈭�y=02x鈭�3y=5

Short Answer

Expert verified

The solution set is -12,-2.

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

4x鈭�y=02x鈭�3y=5

02

Step 2. Firstly solving the equation 4x−y=0 for the variable y. 

Subtract4xonbothside4x鈭�y-4x=0-4x-y=-4xMultiplyby-1onbothside(-1)脳(-y)=-4x脳(-1)y=4x

03

Step 3. Putting the value of y in the equation 2x−3y=5.

2x鈭�3脳4x=52x鈭�12x=5-10x=5Divideby-10onbothside-10-10x=5-10x=-12

04

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

y=4脳(-12)y=-2

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