Question

Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this: 4x + 4y = -36, 4x + 4y = 12

Answer 1

by just observing the given equations, since they have the same slope, they are parallel and thus the system has NO solution since parallel lines never meet or has no intersection.

to prove this using substitution: first choose one equation. then choose one variable (for example, x) and express it in terms of the other variable (like this, x = ...), and finally substitute this expression for x to the other equation (the one that you did not choose). solve for y, and then for x.

hope this helps~ :)

Answer 2

indicated operation 8x^3-1 / 3x^2-6x+12 divide by 8x^2+4x+2 / 6x^3+48