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Chapter 5: Q. 332 (page 678)

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

x+4y=-1x=3

Short Answer

Expert verified

The solution of the system is(3,-1).

Step by step solution

01

Step 1. Given Information

The given system isx+4y=-1x=3.

02

Step 2. Plot first Equation  

  • The intercepts of x+4y=-1are (-1,0),(0,-0.25).
  • Join the points to plot a line.

03

Step 3. Plot second Equation

  • The line x=3is a vertical line passing through (3,0).
  • Plot the vectical line on the same graph.

  • From the graph, it can be observed that the lines intersect at (3,-1).
  • So, the solution of the system is (3,-1).
04

Step 4. Check the solution

  • Substitute (3,-1)into both the given equations and check if the equations are satisfied.

3+4(-1)=?-13-4=?-1-1=-13=3

  • As both the equations are satisfied, the solution is verified.

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