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Chapter 4: Q 30 (page 386)

Solve the systems of equations by substitution.

2x+y=-43x-2y=-6

Short Answer

Expert verified

The solution of system of linear equation is(-2,0)

Step by step solution

01

Step 1. Given information

The system of equations is2x+y=-43x-2y=-6

02

Step 2. Substitute the value of y from one equation into other equation

2x+y=-4y=-2x-4

Now,

3x-2y=-63x-2(-2x-4)=-63x+4x+8=-67x=-14x=-2

03

Step 3. Substitute the value of x in any equation

2x+y=-42(-2)+y=-4-4+y=-4y=0

04

Step 4. Required answer

The solution of system of linear equation is(-2,0)

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Most popular questions from this chapter

Without graphing, determine the number of solutions and then classify the system of equations.

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Translate to a system of equations and then solve:

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