This question is read from left to right. 2x - y = 60% of 5y of means multiply. 2x - y = 60/100 * 5y = 300y /100 = 3y 2x - y = 3y Add y to both sides. 2x = 4y Divide by 2 x = 2y Now divide by x which is a bit unusual. 1 = 2y/x Now divide by 2 1/2 = y/x
First, translate the words you're given into math: 2x-y = 60% of 5y. 60% = 60/100 = 0.60. 0.60(5y) = 3y
2x-y = 3y
>> If this is the SAT and you have to do percentage by hand, you can always use fractions. So, 60% = 60/100 = 6/10 = 3/5. . Another quick percentage trick is that 10% of anything is just that number with the decimal point moved to the left one space. For ex: 10% of 5 = 0.5. And then you can multiply 0.5 by 6 (because 10%*6 = 60%) to get 3.
Back to the problem: Now you have 2x-y = 3y. You are looking for what equals to. Start by separating the x and y variables by putting them on opposite sides of the equal sign: 2x-y = 3y 2x = 4y
You want x and y on one side and numbers on the other side. You also want y to be on the top of the fraction. What you want to do is divide both sides by x first:
Finally, isolate the variablesby dividing by 4 on both sides: