Question

Solve the following equations graphically either by plotting the graphs on graph paper or by using appropriate technology. In either case, use values for $x$ and $y$ in the ranges given. Check your answer by solving the equations algebraically.
$3x+2y=9$
$2x-2y=3$
$0\le x\le 4,-2\le y\le 5$

Answer 1

$\Rightarrow x=\frac{12}{5}$

$\Rightarrow y=\frac{1}{2}(9-\frac{36}{5})=\frac{9}{10}$

Hence, the answer is $\frac{9}{10}.$