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91Ó°ÊÓ

Solve the system by substitution.

x+y=6y=3x−2

Short Answer

Expert verified

The solution set is (2,4).

Step by step solution

01

Step 1. Given Information 

We have to solve the system by substitution.

x+y=6y=3x−2

02

Step 2. Putting the value of y from the second equation in the equation x+y=6.

x+3x−2=64x-2=6Add2onbothside4x-2+2=6+24x=8Divideby4onbothside44x=84x=2

03

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

y=3×2−2y=6−2y=4

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