Question

What is the solution to the system of equation

3x-6y=-12
x-2y=-8
(a) Use substitution method to justify the given system of equation has no solution?
(b) what do you know about the two in the system of equation?
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Answer 1

No solution

The lines are parallel

Explanation:

To solve, use one equation and isolate x. Then substitute x into an equation.

x = -8 + 2y will be substitute 3x - 6y = -12.

3(-8 + 2y) -6y = -12

-24 + 6y - 6y = -12

-24 = -12

This is a false statement. The variable was eliminated. There is no solution. This means the lines are parallel.