Solve the system of equations

Question

Negative 6X plus 2Y equals -32
4X plus 3Y equals -9

Answer 1

To solve this system of equations, we can use either the substitution or elimination method. Let's use the elimination method.

First, we will multiply the first equation by 2 and the second equation by 3 to make the coefficients of Y equal:

-12X + 4Y = -64
12X + 9Y = -27

Now, add the two equations together to eliminate the X term:

0 + 13Y = -91
13Y = -91
Y = -7

Now that we have found the value of Y, we can substitute it back into one of the original equations to solve for X. Let's use the first equation:

-6X + 2(-7) = -32
-6X - 14 = -32
-6X = -18
X = 3

Therefore, the solution to the system of equations is X = 3 and Y = -7.