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Chapter 11: Q. 34 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.

12x+y=-2x-2y=8

Short Answer

Expert verified

The solution of the given system of equation is x=2,y=-3;2,-3.

Step by step solution

01

Step 1. Given information.

The given equations are:

12x+y=-2x-2y=8

02

Step 2. Determine one variable in terms of another variable.

The second equation can be written as:

x-2y=8x=8+2y

03

Step 3. Determine the value of one variable.

Substitute the above value in the first equation.

12(8+2y)+y=-24+y+y=-22y=-2-4y=-62y=-3

04

Step 4. Determine the value of another variable.

Substitute y=-3in x=8+2y.

x=8+2yx=8+2(-3)x=8-6x=2

The solution of the given system of equation is x=2,y=-3;2,-3.

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