Question 18272: How do you find the variable in the equation below?
1095600 = x + (y + 0.04)
Answer by mmm4444bot(95)   (Show Source):
You can put this solution on YOUR website! Hello There:
Thank you for clarifying your question. To solve for both x and y simply means isolating each of these variables on one side of the equals sign.
The first thing to note about this equation is the fact that the parentheses are not needed. Grouping symbols are only necessary if the arithmetic inside them needs to be done first. Since adding x, y, and 0.04 can all be done at once, there is no need to group y and 0.04 together.
1095600 = x + y + 0.04
Let's solve for x first. We want to end up with x by itself on one side of the equals sign, so we need to subtract y and 0.04. Hopefully you have learned that when you do arithmetic with equations the operation(s) need to be done to both sides.
1095600 - 0.04 - y = x + y - y + 0.04 - 0.04
1095599.96 - y = x
Solving for y is accomplished in the same manner. To isolate y, we need to subtract x and 0.04 from both sides of the equation.
1095600 - 0.04 - x = x - x + y + 0.04 - 0.04
1095599.96 - x = y
It's customary to put the variable for which you have solved on the left side, so we write the two solutions as:
x = 1095599.96 - y
y = 1095599.96 - x
~ Mark
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