Question 877613
This is a simple linear systems exercise involving wages and income.


x and y, Missy and Adam, hours per week of work.


Missy's earnings:  7x dollars
Adam's earnings:  5y dollars


Missy and Adam make the same amount per week:  7x=5y


Adam works two hours more than Missy:  y-x=2


Check the information listed there, and when you understand the situation, you should find you have this system of equations:
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7x=5y AND y-x=2
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SOLVING THE SYSTEM:
{{{7x=5y}}}, and {{{y=x+2}}} for substitution.
{{{7x=5(x+2)}}}
{{{7x=5x+10}}}
{{{2x=10}}}
{{{highlight(x=5)}}}---Missy's hours
-
{{{y=5+2}}}
{{{highlight(y=7)}}}----Adam's hours