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Chapter 4: Q 332 (page 479)

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

2x-y=54x-2y=10

Short Answer

Expert verified

The solution to the linear equations infinitely many.

Step by step solution

01

Step 1. Given information

The given equations are

2x-y=54x-2y=10

02

Step 2. Finding intersecting points

First, solve both of these equations for y such that their slopes and y intercepts may be easily graphed.

And find the slope and y-intercept by solving the first equation for y.

2x-y=5-y=-2x+5y=2x-5Heretheslopeism=2Andthey-interceptisb=-5AgainSolvethesecondequationfory.andfindtheslopeandy-intercept.4x-2y=10-2y=-4x+10y=2x-5Heretheslopeism=2Andthey-interceptisb=-5

03

Step 3. Graph obtained

The lines are identical.

There are an endless number of ordered pairs that make both equations true because every point on the line does.

As a result, this system has an endless number of solutions.

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Most popular questions from this chapter

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