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Chapter 5: Q. 329 (page 678)

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

3x+y=6x+3y=-6

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given Information

The given system is3x+y=6x+3y=-6

02

Step 2. Plot first Equation.

  • The intercepts of 3x+y=6are (2,0),(0,6).
  • Join the points to plot a line.

03

Step 3. Plot second equation

  • The intercepts of x+3y=-6are (-6,0),(0,-2).
  • Join the points to plot a line on the same graph.

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

Step 4. Check the solution

  • Substitute x=3,y=-3into both the given equations and check if the equations are satisfied.

3(3)-3=?69-3=?66=63+3(-3)=?-63-9=?-6-6=-6

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

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