## Elementary Technical Mathematics

$x+2y=11$ $x+2y-x=11-x$ $2y\div2=(-x+11)\div2$ $y=-\underset\uparrow{\frac{1}{2}}x+\frac{11}{2}$ $\ \ \ \ \ \ \ \ \ \$slope $2x+4y=-5$ $2x+4y-2x=-5-2x$ $4y\div4=(-2x-5)\div4$ $y=-\frac{2}{4}x-\frac{5}{4}$ $y=-\underset\uparrow{\frac{1}{2}}x-\frac{5}{4}$ $\ \ \ \ \ \ \ \ \ \$slope The slope of each equation is $-\frac{1}{2}$ so the lines are parallel.