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Chapter 5: Q. 331 (page 678)

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

2x-y=6y=4

Short Answer

Expert verified

The solution of the system is(5,4).

Step by step solution

01

Step 1. given Information

The given system is2x-y=6y=4.

02

Step 2. Plot first Equation 

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

03

Step 3. Plot second Equation

  • The intercepts of y=4is a horizontal line passing through (0,4)
  • Plot the horizontal line.

  • From the graph, it can be observed that the lines intersect at (5,4).
  • So, the solution of the system is (5,4).
04

Step 4. Check the solution

  • Substitute (5,4)into both the given equations and check if the equations are satisfied.

2(5)-4=?610-4=?66=64=4

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

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