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Chapter 5: Q 5.11. (page 586)

Solve each system by graphing:

y=-1x+3y=6

Short Answer

Expert verified

The solution is(9,-1)

Step by step solution

01

Step 1. Given information 

The system of equations is

y=-1x+3y=6

02

Step 2. Find the x and y-intercept of both equations.

First equation:

y=-1

Since this is a horizontal line

So, the y-intercept is (0,-1)

Second equation:

x+3y=6

x-intercept is

x+3脳0=6x+0=6x=6

So, the x-intercept is (6,0)

y-intercept is

0+3y=63y=63y3=63y=2

So, the y-intercept is(0,2)

03

Step 3. Graph the two lines.

First equation:

Locate y-intercept (0,-1)and draw horizontal line

Second equation:

Locate points(6,0),(0,2) on the graph and join them

So, the graph is

04

Step 4. Determine the point of intersection.

The graph is

Since the intersection point is (9,-1)

So, the solution is(9,-1)

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