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Chapter 4: Q. 4.21 (page 382)

Solve each system by elimination: 13x-12y=134x-y=52

Short Answer

Expert verified

The solution of the system arex=6y=2.

Step by step solution

01

Given information.

The given system of equations is,

13x-12y=134x-y=52
02

Isolation of variable

The equation is 13x-12y=1. Isolating the variable. We get x=3+32y.

Now substituting the value of xin the other equation, we get

343+32y-y=52.

03

Isolating and solving further

Further solving, we get18+y8=52, isolating y, we get

y=2

Substitute,y=2, we get

x=3+32路2

x=6

So the values arex=6y=2

04

Checking the value

Substituting, we get

13(6)-12(2)=12-1=11=1

05

Checking for another value

Checking for another value, we get

34(6)-2=5292-2=5252=52

So the value is correct

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Most popular questions from this chapter

Solve the system by graphing:-x+y=13x+2y=12

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=-2x-44x+2y=9(b)3x+2y=22x+y=1

To decide whether it would be more convenient to solve the system of equations by substitution or elimination.

(a)y=4x+95x-2y=-21(b)9x-4y=243x+5y=-14

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=13x-5x-3y=6(b)x+4y=12-x+y=3

Translate to a system of equation and solve.

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