SOLUTION: solving one step equations. I need a refresher to help my daughter with homework!! It's been at least 25 years;) since doing this. I need to know how to solve: 2/7 = 1/2 + Y Tha

Question 1091443: solving one step equations.
I need a refresher to help my daughter with homework!! It's been at least 25 years;) since doing this. I need to know how to solve:
2/7 = 1/2 + Y
Thank You in Advance,
Melissa Carman
Found 2 solutions by Boreal, math_helper:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2/7 = 1/2 + Y
clear the fractions, meaning multiply both by some number that will make the denominator 1. The product of the denominators involved always works. 7*2=14, so multiply everything by 14.
(2/7)*14=28/7=4
(1/2)*14=7
Y*14=14Y
Therefore, 4=7+14Y
14Y=-3
Y=-3/14
Check
2/7=1/2-3/14
Put everything over a denominator of 14
4/14=7/14-3/14, checks.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

I'll go step-by-step. Subtract 1/2 from each side:

Simplify right hand side:

Rewrite the fractions using a common denominator:

Simplify:

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Ans:
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