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Chapter 4: Q. 19 (page 385)

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

4x-3y=88x-6y=14

Short Answer

Expert verified

The solution of the system 4x-3y=88x-6y=14has no solution. It is found by a graph as,

Step by step solution

01

Step 1. Given information.

Consider the given equations,

4x-3y=88x-6y=14

02

Step 2. Solve the first equation for y.

Find the slope and y-intercept of the first equation.

4x-3y=8-3y=-4x+8y=43x-83

Here the slope is m=43and, the y-intercept is b=-83.

03

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

Find the slope and y-intercept of the second equation.

8x-6y=14-6y=-8x+14y=43x-73

Here the slope ism=43 and, the y-intercept isb=-73.

04

Step 4. Graph both the lines.

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

  • The lines are parallel.
  • Since, no point in both lines, there is no ordered pair that makes both equations true.
  • Therefore, no solution to this system.

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