## Elementary Linear Algebra 7th Edition

$x =0$ $y=0$ $(0,0)$
$\frac{1}{2}x-\frac{1}{3}x=0$ $3x+2(y+5)=10$ Multiply the first equation by 6 to remove the fractions and simplify the second equation. $6\times(\frac{1}{2}x)-6\times(\frac{1}{3}x)=0$ $\rightarrow$ $3x-2y=0$ $3x+2y +10=10$ Eliminate the $y$-variable by addition of the two equations. $3x-2y+3x+2y+10=10$ $\rightarrow$ Simplify. $6x=0$ $x=0$ Substitute for $x$ and solve for $y$. $3(0)+2(y+5)=10$ $2y+10=10$ $2y=0$ $y=0$