Question

how do I solve x-y=-6
6x-3y=-9 using systems of elemination?

Answer 1

Rewriting the first equation as follows:
\[y = x + 6\]
Plugging this into the second equation gives:
\[6x - 3(x + 6) = -9\]
Multiplying:
\[6x - 3x - 18 = -9\]
Subtracting like terms:
\[3x - 18 = -9\]
Dividing both sides by 3:
\[x - 6 = -3\]
Adding 6 to both sides:
\[x = 3\]
Plugging back into our first derived equation:
\[y = 3 + 6 = 9\]