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Chapter 5: Q. 343 (page 679)

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

x-y=02x+5y=-14

Short Answer

Expert verified

The ordered pair is(-2,-2).

Step by step solution

01

Step 1. Given Information

The given system of equations isx-y=02x+5y=-14.

02

Step 2. Find the value of x

  • Rewrite the first given equation.

y=x

  • Substitute y=xinto the second given equation.

2x+5(x)=-147x=-14x=-2

03

Step 3. Find the value of y.

  • Substitute x=-2into the first given equation.

-2-y=0y=-2

  • So, the ordered pair is(-2,-2).
04

Step 4. Check the solution

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

-2-(-2)=?0-2+2=?00=02(-2)+5(-2)=?-14-4-10=?-14-14=-14

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

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