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Chapter 11: Q. 18 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.
x+2y=-7x+y=-3

Short Answer

Expert verified

The solution of the given system of equation is x=1,y=-4;(1,-4).

Step by step solution

01

Step 1. Given information.

The given equations are:

x+2y=-7x+y=-3

02

Step 2. Determine the value of one variable by substitution.

The second equation can be written as:

x=-3-y

Substitute this in the first equation.

(-3-y)+2y=-7-3+y=-7y=-7+3y=-4

03

Step 3. Determine the value of another variable.

Substitute y=-4in x=-3-y.

x=-3-(-4)=-3+4=1

The solution of the given system of equation is x=1,y=-4;(1,-4).

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Most popular questions from this chapter

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