Question
Solve the system of equations 6x- 3y = -6 + 9x - 3y = - 18
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Answered by
GPT 3.5
To solve this system of equations, we can start by subtracting the first equation from the second equation:
(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 use the first equation:
6(-4) - 3y = -6
-24 - 3y = -6
-3y = 18
y = -6
Therefore, the solution to the system of equations is x = -4 and y = -6.
(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 use the first equation:
6(-4) - 3y = -6
-24 - 3y = -6
-3y = 18
y = -6
Therefore, the solution to the system of equations is x = -4 and y = -6.
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