{-9x-3y=147
-x+7y=-101
The solution of the system is:
To find the solution of the given system of equations, we can use the method of elimination or substitution.
Let's solve the system using the method of elimination:
Step 1: Multiply the second equation by 9 to make the coefficients of x in both equations equal:
-9x - 3y = 147 (1)
-9x + 63y = -909 (2)
Step 2: Subtract equation (1) from equation (2) to eliminate x:
(-9x + 63y) - (-9x - 3y) = -909 - 147
Simplifying, we get:
66y = -762
Step 3: Divide both sides by 66 to solve for y:
y = -762 / 66
y = -23
Step 4: Substitute the value of y back into one of the original equations to solve for x. Let's use equation (1):
-9x - 3(-23) = 147
Simplifying, we get:
-9x + 69 = 147
Step 5: Subtract 69 from both sides:
-9x = 147 - 69
-9x = 78
Step 6: Divide both sides by -9 to solve for x:
x = 78 / -9
x = -9
Therefore, the solution to the given system of equations is x = -9 and y = -23.