Question

Solve the system of equations. 6x−3y=−6 9x−3y=−18 (1 point) and explain, thanks

Answer 1

To solve this system of equations, we can start by noticing that both equations have the same y-term with different coefficients. We can use this information to eliminate the y-term and solve for x.

Given equations:
6x - 3y = -6 (1)
9x - 3y = -18 (2)

Subtract equation (1) from equation (2) to eliminate the y-term:
9x - 3y - 6x + 3y = -18 - (-6)
3x = -12
x = -4

Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's substitute x = -4 into equation (1):
6(-4) - 3y = -6
-24 - 3y = -6
-3y = 18
y = -6

Therefore, the solution to the system of equations is:
x = -4
y = -6

The equations represent two lines that intersect at the point (-4, -6).