Question 814859
x and y for wage rate of carpenter and apprentice.


5x+3y=8075 and 3x+5y=6925


Three basic ways to go.  Solve both for one variable, equate and solve for the value of other variable; solve by substitution; solve by elimination.


The least advanced way:
{{{3y=-5x+8075}}}
{{{y=-(5/3)x+8075/3}}}
and {{{5y=-3x+6925}}}
{{{y=-(3/5)x+6925/5}}}
{{{y=-(3/5)+1385}}}
Equating the two formulas for y,
{{{highlight(-(5/3)x+8075/3=-(3/5)x+1385)}}}, and solve for x.
... then go back and solve for y.