I need help with this problem.
Write an equivalent equation by solving for y:
5x-6y=12
5 x - 6 y = 12
Subtract 5 x to both sides
5 x - 6 y - 5 x = 12 - 5 x
- 6 y = 12 - 5 x
- 6 y = - 5 x + 12
Divide both sides by - 6
y = - 5 x / - 6 + 12 / - 6
y = 5 / 6 x - 2
To write an equivalent equation by solving for y in the equation 5x-6y=12, we need to isolate y on one side of the equation.
Step 1: Start by subtracting 5x from both sides of the equation:
5x - 5x - 6y = 12 - 5x
-6y = 12 - 5x
Step 2: Next, divide both sides of the equation by -6 to isolate y:
-6y / -6 = (12 - 5x) / -6
y = (12 - 5x) / -6
So, the equivalent equation by solving for y is y = (12 - 5x) / -6.
Note: When solving equations, it's important to perform the same operation to both sides of the equation to maintain equality. In this case, we subtracted 5x from both sides and then divided by -6.