1) Solve for x:9 - 6x = 3x - 6Add 6x to both sides:9 = 9x - 6Add 6 to both sides:15 = 9xDivide by 9:x = 15/9x = 5/3
2) Solve for x:(x-3)(x+5) = 0This equation will be true if either (x-3) = 0 or (x+5) = 0.
Therefore, the solutions for x are x = 3 and x = -5.
3) Solve for y:-3(2y + 7) - 1 = 12Distribute the -3:-6y - 21 - 1 = 12Combine like terms:-6y - 22 = 12Add 22 to both sides:-6y = 34Divide by -6:y = -34/-6y = 17/3
So, the solution for y is y = 17/3.
1) Solve for x:
9 - 6x = 3x - 6
Add 6x to both sides:
9 = 9x - 6
Add 6 to both sides:
15 = 9x
Divide by 9:
x = 15/9
x = 5/3
2) Solve for x:
x - 3 = 0(x-3)(x+5) = 0
This equation will be true if either (x-3) = 0 or (x+5) = 0.
x = 3x + 5 = 0
x = -5
Therefore, the solutions for x are x = 3 and x = -5.
3) Solve for y:
-3(2y + 7) - 1 = 12
Distribute the -3:
-6y - 21 - 1 = 12
Combine like terms:
-6y - 22 = 12
Add 22 to both sides:
-6y = 34
Divide by -6:
y = -34/-6
y = 17/3
So, the solution for y is y = 17/3.