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Chapter 4: Q 231 (page 444)

Solve the system of equations by substitution.

3x+y=12x=y-8

Short Answer

Expert verified

The solution of the linear equation is that (1,9).

Step by step solution

01

Step 1. Given information

The given linear equations are:3x+y=12x=y-8

02

Step 2.  Calculation

Firstsolveoneequationforonevariable.Substitutex=y-8inequation3x+y=12andsolvefory.3x+y=123(y-8)+y=123y-24+y=124y=12+244y=36y=36/4=9

Substitutey=9intox=y-8andsolveforx.x=y-8x=9-8=1

localid="1644427920855" Check:Firstsubstitutex=1,y=9intotheequation3x+y=123x+y=123(1)+9=123+9=1212=12Thisistrue.Alsosubstitutex=1,y=9intotheequationx=y-8x=y-81=9-81=1Thisistrue.Therefore,thesolutionofthesystemoflinearequationsisthat(1,9)

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