Answer:
Explanation:
To solve this system of equations:
9x + 3y = -57
-3x + y = 29
You can use the method of substitution or elimination. Let's use the elimination method:
First, multiply the second equation by 3 to make the coefficients of y in both equations equal:
9x + 3y = -57
-9x + 3y = 87 (Multiplied the second equation by 3)
Now, subtract equation 3 from equation 2 to eliminate the variable y:
(9x + 3y) - (-9x + 3y) = (-57) - 87
This simplifies to:
18x = -144
Now, divide both sides by 18 to solve for x:
x = -144 / 18
x = -8
Now that you have the value of x, you can substitute it into either of the original equations to solve for y. Let's use equation 2:
-3x + y = 29
-3(-8) + y = 29
24 + y = 29
Subtract 24 from both sides:
y = 29 - 24
y = 5
So, the solution to the system of equations is x = -8 and y = 5.