Solve each literal equation for the indicated variable
Solve for x: 3y - 2x = 30
To solve the equation for x, we need to isolate the variable x.
First, let's get rid of the 3y term by subtracting 3y from both sides of the equation:
3y - 2x - 3y = 30 - 3y
-2x = 30 - 3y
Next, we want to isolate x, so we need to get rid of the -2 coefficient. To do this, we divide both sides of the equation by -2:
(-2x)/(-2) = (30 - 3y)/(-2)
x = (30 - 3y)/(-2)
Therefore, the equation solved for x is x = (30 - 3y)/(-2).
To solve the equation 3y - 2x = 30 for x, we need to isolate the variable x on one side of the equation.
Here are the steps:
Step 1: Start with the equation:
3y - 2x = 30
Step 2: Move the term with x to the other side of the equation by adding 2x to both sides:
3y - 2x + 2x = 30 + 2x
Simplifying, we get:
3y = 30 + 2x
Step 3: Move the constant term to the other side of the equation by subtracting 30 from both sides:
3y - 30 = 30 + 2x - 30
Simplifying, we get:
3y - 30 = 2x
Step 4: Divide both sides of the equation by 2 to isolate the x variable:
(3y - 30) / 2 = 2x / 2
Simplifying, we get:
(3y - 30) / 2 = x
Therefore, the solution for x in the equation 3y - 2x = 30 is:
x = (3y - 30) / 2
To solve the given literal equation for the variable x, we need to isolate x on one side of the equation. Let's go step by step:
1. Start with the equation: 3y - 2x = 30
2. Our goal is to get all terms involving x on one side of the equation. To do this, let's move the term involving x to the other side by adding 2x to both sides:
3y - 2x + 2x = 30 + 2x
Simplifying the left side, we get: 3y = 30 + 2x
3. Now, let's isolate the term involving x by subtracting 30 from both sides:
3y - 30 = 30 + 2x - 30
Simplifying the left side gives us: 3y - 30 = 2x
4. To solve for x, divide both sides of the equation by 2:
(3y - 30)/2 = 2x/2
Simplifying further gives us: (3y - 30)/2 = x
Therefore, the solution for x is (3y - 30)/2.