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Chapter 5: Q. 341 (page 679)

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

3x-y=-5y=2x+4

Short Answer

Expert verified

The solution set is(-1,2).

Step by step solution

01

Step 1. Given Information

The given system is3x-y=-5y=2x+4.

02

Step 2. find the value of x.

  • Substitute y=2x+4into the first given equation.

3x-(2x+4)=-53x-2x-4=-5x-4=-5x=-5+4x=-1

  • So, the value of xis -1.
03

Step 3. Find the value of y.

  • Substitute x=-1into the second given equation.

y=2(-1)+4=-2+4=2

  • So, the solution set is (-1,2).
04

Step 4. Check the solution

  • Substitute x=-1,y=2into both the given equations and check if the equations are satisfied.

3(-1)-2=?-5-3-2=?-5-5=-52=?2(-1)+42=?-2+42=2

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

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