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What is the solution of the following system? -3x-2y=-12 9x+6y=-9

2 Answers

6 votes

Answer:

No solution.

Explanation:

Use elimination.

Multiply the equation by the opposite equation's x coefficient.

9(-3x - 2y = -12) = -27x - 18y = -108

Again, multiply by the other x coefficient.

-3(9x + 6y = -9) = -27x - 18y = 27

Add the second equation to the first.

-27x - 18y = -108

+27x + 18y = -27 The x and y will cancel each other out.

0 ≠ 135. Since 0 does not equal 135, there is no solution.

Elimination gives an equation that is always false. The two equations in the system represent parallel lines. This is an inconsistent system. It has no solutions.

User Desmon
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8.6k points
3 votes
The answer is : no solution
User Piccolo
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