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Chapter 5: Q. 19 (page 595)

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

-3x+y=-12x+y=4

Short Answer

Expert verified

The solutions to the system of equations arex=1,x=2.

Step by step solution

01

Step 1. Given information.

We have:

-3x+y=-12x+y=4

02

Step 2. Find the intercepts. 

We will find the x-intercept and y-intercept of both equations and use them to graph the lines.

The system of equations are:

-3x+y=-12x+y=4

x-intercept: substitute y=0

-3x+0=-1x=13

X-intercept: 13,0

2x+0=42x=4x=2

X-intercept: 2,0

y-intercept: substitute x=0

-3(0)+y=-1y=-1

Y-intercept: 0,-1

2(0)+y=4y=4

Y-intercept:0,4

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines intersect at (1,2).

Therefore, the solutions are:

x=1,x=2

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