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Chapter 4: Q. 18 (page 385)

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

3x+5y=10y=-35x+1

Short Answer

Expert verified

The solution of the system 3x+5y=10y=-35x+1has no solution. It is found by a graph as,

Step by step solution

01

Step 1. Given information.

Given the system of linear equations,

3x+5y=10y=-35x+1

02

Step 2. Solve the first equation for y.

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

3x+5y=105y=-3x+10y=-35x+2

Here the slope m= -35and,the y-intercept b=2.

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=-35x+1

Here the slope is m=-35and, the y-intercept is b=1.

04

Step 4. Graph both the lines.

The graph of both lines on one 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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