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Chapter 5: Q. 5.30 (page 601)

Solve the system by substitution.

鈭�x+y=44x鈭�y=2

Short Answer

Expert verified

The solution set is (2,6).

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

鈭�x+y=44x鈭�y=2

02

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

Add x on both side

鈭�x+y+x=4+xy=4+x

03

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

4x鈭�(4+x)=24x鈭�4鈭�x=23x鈭�4=2Add4onbothside3x鈭�4+4=2+43x=6Divideby3onbothside33x=63x=2

04

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

y=4+2y=6

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In the following exercises, solve the systems of equations by substitution.

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