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Chapter 4: Q 16. (page 385)

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

-x+2y=-6y=-12x-1

Short Answer

Expert verified

The solution of the system of the linear equation (2,-2).

Step by step solution

01

Step 1. Given information.

Given equations,

-x+2y=-6y=-12x-1

02

Step 2. Solve the first equation for y.

Solve the equation and find the slope and y-intercept.

-x+2y=-62y=x-6y=12x-3

Here the slope is localid="1644998427794" m=12and, the y-intercept is localid="1644998410504" b=-3.

03

Step 3. Solve the second equation for y, and find the slope and y-intercept.

Find the slope and intercept.

y=-12x-1

Here the slope is m=-12and, the y-intercept is b=-1.

04

Step 4. Graph both the lines.

The graph of the both lines is drown below,

05

Step 5.checking

First substitute x= 2, y= -2 into the equation -x+2y=-6.

localid="1644998589460" -x+2y=-6-2+2(-2)=-6-2-4=-6-6=-6

This is true.

Also,Substitute x=2,y=-2 into the equation y=-12x-1.

localid="1644998603971" y=-12x-1-2=-12(2)-1-2=-1-1-2=-2

This is also true.

Therefore, the solution of the system of the linear equation (2,-2)..

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Most popular questions from this chapter

Translate to a system of equations and solve:

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