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Chapter 4: Q 17. (page 385)

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

-2x+4y=4y=12x

Short Answer

Expert verified

The solution of the system -2x+4y=4y=12xhas no solution. It is found by a graph as,

Step by step solution

01

Step 1. Given information.

Consider the given system of linear equations,

-2x+4y=4y=12x

02

Step 2. Solve the first equation for y.

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

-2x+4y=44y=2x+4y=12x+1

Here the slope is m=12 and, the y-intercept is b = 1.

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.

y=12x

Here the slope m=12and, the y-intercept is b=0.

04

Step 4. Graph both the lines.

The graph of both equation on one plane is drawn as,

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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