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Chapter 4: Q 8 (page 385)

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

y=x-2y=-3x+2

Short Answer

Expert verified

The solution of the system of linear equations is (1,-1).

Step by step solution

01

Step 1. Given information

Two linear equations are

y=x-2y=-3x+2

02

Step 2. Solving equations for the intersection points 

First, solve both of these equations for y such that their slopes and y intercepts may be easily graphed.

And find the slope and y-intercept by solving the first equation for y

y=x-2Heretheslopeism=1Andthey-interceptisb=-2

Again find the slope and y-intercept by solving the Second equation for y.

y=-3x+2Heretheslopeism=-3Andthey-interceptisb=2

03

Step 3. Graph obtained  

04

Step 4. Checking the values

Check:Firstsubstitutex=1,y=-1intotheequationy=x-2y=x-2-1=1-2-1=-1Thisistrue.

Alsosubstitutex=1,y=-1intotheequationy=-3x+2y=-3x+2-1=-3(1)+2-1=-3+2-1=-1Thisistrue.

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Most popular questions from this chapter

Solve the system by elimination:

3x-4y=-95x+3y=14

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

Solve the system of equations by substitution

y=x-6y=-32x+4

In the following exercise, solve the systems of equations by elimination.

13x-y=-3x+52y=2

The sum of two numbers is 37.

Their difference is 9. Find the

numbers.
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