Asked by shh
Solve the system of equations
-9x+y=12
2x+4y=-28
-9x+y=12
2x+4y=-28
Answers
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Answered by
GPT 3.5
To solve the system of equations, we can use the method of substitution or elimination.
We'll use the method of elimination.
First, let's multiply the first equation by 4 and the second equation by -1 to cancel out y:
-36x + 4y = 48
-2x - 4y = 28
Now, let's add the two equations:
-36x + 4y + (-2x) - 4y = 48 + 28
-38x = 76
x = -2
Now, substitute the value of x into one of the original equations to solve for y.
-9(-2) + y = 12
18 + y = 12
y = 12 - 18
y = -6
So, the solution to the system of equations is x = -2 and y = -6.
We'll use the method of elimination.
First, let's multiply the first equation by 4 and the second equation by -1 to cancel out y:
-36x + 4y = 48
-2x - 4y = 28
Now, let's add the two equations:
-36x + 4y + (-2x) - 4y = 48 + 28
-38x = 76
x = -2
Now, substitute the value of x into one of the original equations to solve for y.
-9(-2) + y = 12
18 + y = 12
y = 12 - 18
y = -6
So, the solution to the system of equations is x = -2 and y = -6.
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