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Chapter 4: Q 9 (page 385)

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

y=32x+1y=-12x+5

Short Answer

Expert verified

The solution of the system of linear equations is (2,4).

Step by step solution

01

Step 1. Given information  

Two linear equations are

y=32x+1y=-12x+5

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=32x+1Heretheslopeism=32Andthey-interceptisb=1

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

y=32x+1Heretheslopeism=32Andthey-interceptisb=1

03

Step 3. Graph obtained  

04

Step 4. Checking the equations

Firstsubstitutex=2,y=4intotheequationy=32x+1y=32x+14=32(2)+14=3+14=4Thisistrue.

Firstsubstitutex=2,y=4intotheequationy=32x+1y=32x+14=32(2)+14=3+14=4Thisistrue.

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Most popular questions from this chapter

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

5x鈭�2y=10y=52x-5

Solve the system by elimination:3x+y=52x-3y=7

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

Solve the system by graphing: y=12x-42x-4y=16

Solve the system of equations by substitution and explain all your steps in words:

3x+y=12x=y-8
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