How do I solve problems similar to:
2/3X - 1/2Y = 3
To solve problems similar to the equation 2/3X - 1/2Y = 3, you will need to find the values of X and Y that satisfy the equation.
Step 1: Multiply both sides of the equation by the least common denominator (LCD) to eliminate the fractions. In this case, the LCD is 6 since it is the least common multiple of 3 and 2.
(6)(2/3X) - (6)(1/2Y) = (6)(3)
4X - 3Y = 18
Step 2: Rearrange the equation by isolating one variable. Let's isolate X in this case.
4X = 18 + 3Y
4X = 3Y + 18
Step 3: Divide both sides of the equation by the coefficient of X (which is 4) to solve for X.
X = (3Y + 18) / 4
Now you have an equation that expresses X in terms of Y. This equation is the solution to the original equation.
So to solve problems similar to 2/3X - 1/2Y = 3, you would need to rearrange the equation and isolate one variable. Then you can solve for that variable and express it in terms of the other variable.