can someone correct this for me.
Directions: Solve each literal equation for the indicated variable.
2x + 3y = 6 (for x) Linear Equation
My answer: X = 3-1.5y
yes.
To solve the given linear equation 2x + 3y = 6 for x, we need to isolate x on one side of the equation.
Here's how you can do it step by step:
1. Start with the equation: 2x + 3y = 6
2. To isolate the variable x, we want to eliminate the term 3y first. Subtract 3y from both sides of the equation:
2x + 3y - 3y = 6 - 3y
This simplifies to: 2x = 6 - 3y
3. Now, to solve for x, divide both sides of the equation by 2:
2x/2 = (6 - 3y)/2
This simplifies to: x = (6 - 3y)/2
4. Finally, simplify the expression:
x = 6/2 - (3y)/2
x = 3 - (3/2)y
This can also be written as: x = 3 - 1.5y
So, the corrected solution for the given equation, solving for x, is x = 3 - 1.5y.