How would I solve
{6x-3y=18 -3x-9y=-93}
To solve the system of equations:
1. Start by multiplying the second equation by -2 to eliminate the -3x term.
-3x - 9y = -93
(-2)(-3x - 9y) = (-2)(-93)
Simplifying, you get:
6x + 18y = 186
Now, you have the system of equations:
6x - 3y = 18
6x + 18y = 186
2. Subtract the first equation from the second equation to eliminate the 6x term.
(6x + 18y) - (6x - 3y) = 186 - 18
Simplifying, you get:
21y = 168
3. Solve for y by dividing both sides of the equation by 21.
y = 168/21
y = 8
4. Substitute the value of y back into one of the original equations to solve for x.
6x - 3(8) = 18
6x - 24 = 18
Add 24 to both sides:
6x = 42
Divide both sides by 6:
x = 7
So the solution to the system of equations is x = 7 and y = 8.