Question

6x -3y =~6
9x -3y = -18

Answer 1

To solve this system of equations, we can solve for one variable in terms of the other and substitute it into the other equation.

From the first equation:
6x - 3y = 6
Divide both sides by 6 to isolate x:
x - y = 1
Rearrange to solve for x:
x = y + 1

Now substitute x = y + 1 into the second equation:
9x - 3y = -18
9(y + 1) - 3y = -18
Distribute 9 to y + 1:
9y + 9 - 3y = -18
Combine like terms:
6y + 9 = -18
Subtract 9 from both sides:
6y = -27
Divide both sides by 6:
y = -27/6
Simplify:
y = -9/2

Now substitute y = -9/2 into x = y + 1:
x = -9/2 + 1
x = -9/2 + 2/2
x = -7/2

Therefore, the solution to the system of equations is x = -7/2 and y = -9/2.