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91Ó°ÊÓ

Solve the system by substitution.

y=3x−16y=13x

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.

y=3x−16y=13x

02

Step 2. Putting the value of y in the equation y=3x−16.

13x=3x−16Subtract3xonbothside13x-3x=3x−16-3x13x-3x=−1613x-93x=−161-93x=−16-83x=−16Multiplywith-38onbothside-38×-83x=-16×-38x=2×3x=6

03

Step 3. Putting the value of x in the equation y=13x.

y=13×6y=2

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