## Elementary Technical Mathematics

Add the 2 equations. $\ \ 5x+6y=31$ $\underline{\ \ 2x+6y=16}$ multiply by -1 $\ \ \ \ \ \ 5x+6y=\ \ \ \ 31$ $\underline{\ \ -2x-6y=-16}$ $\ \ \ \ \ \ \ 3x\ \ \ \ \ \ \ \ \ =\ \ \ \ 15$ divide both sides by 3 $\ \ \ \ \ \ \ \ \ x\ \ \ \ \ \ \ \ \ =\ \ \ \ \ \ 5$ Substitute and solve for y. $5x+6y=31$ $5(5)+6y=31$ $25+6y-25=31-25$ $6y\div6=6\div6$ $y=1$