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Chapter 5: Q. 330 (page 678)

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

y=x-2y=-2x-2

Short Answer

Expert verified

The solution of the system is(0,-2).

Step by step solution

01

Step 1. Given Information

The given system isy=x-2y=-2x-2.

02

Step 2. Plot first Equation

  • The intercepts of y=x-2are (0,-2),(2,0).
  • Join the points to plot a line.

03

Step 3. Plot second Equation 

  • The intercepts of y=-2x-2are (-1,0),(0,-2).
  • Join the points to plot a line on the same graph.

  • From the graph, it can be observed that the lines intersect at (0,-2).
  • So, the solution of the system is (0,-2).
04

Step 4. Check the solution

  • Substitute (0,-2)into both the given equations and check if the equations are satisfied.

-2=?0-2-2=-2-2=?-2(0)-2-2=-2

  • As both the equations are satisfied, the solution is verified.

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