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Chapter 4: Q. 24 (page 385)

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

5x+2y=7-10x-4y=-14

Short Answer

Expert verified

The solution of the system 5x+2y=7-10x-4y=-14has infinity many solutions. It is found by a graph as,

Step by step solution

01

Step 1. Given information.

Consider the given system of linear equations,

5x+2y=7-10x-4y=-14

02

Step 2. Solve the first equation for y.

Find slope and y-intercept.

5x+2y=72y=-5x+7y=(-52)x+72

Here the slope is m=-52and the y-intercept isb=72.

03

Step 3. Solve the second equation for y.

Find the slope and y-intercept.

-10x-4y=-14-4y=10x-14y=-52x+72

Here the slope is m=-52and, the y-intercept is b=72.

04

Step 4. Graph both the lines.

The graph of both equations on the same plane is drawn below,

  • The lines are the same.
  • Since every point on the line makes both equations true, there are infinity-ordered pairs that make both equations true.
  • Therefore, there are infinity many solutions to this system.

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Most popular questions from this chapter

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