8x+9y=33 x-36y=-330 elimination
multiply 2nd by 8
8x - 288y = -2640
subtract that from the first
297y = 2673
y = 9
sub into 1st
8x + 81 = 33
8x = -48
x = -6
84x/6+24x/8=0
98x/20y-34x/14y=0
To solve the given system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the equations. For this particular system, let's eliminate the variable "x".
Multiplying both sides of the second equation by 8, we get:
8(x) - 8(36y) = 8(-330)
8x - 288y = -2,640
Now we have two equations:
8x + 9y = 33
8x - 288y = -2,640
To eliminate "x", we subtract the first equation from the second equation:
(8x - 288y) - (8x + 9y) = -2,640 - 33
(8x - 8x) + (-288y - 9y) = -2,673
-297y = -2,673
Next, we solve for "y" by dividing both sides of the equation by -297:
-297y / -297 = -2,673 / -297
y = 9
Now that we have the value of "y", we substitute it back into one of the original equations to find the value of "x". Let's use the first equation:
8x + 9(9) = 33
8x + 81 = 33
8x = 33 - 81
8x = -48
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 9.