Question

Find the values of x and y in the following rectangle

• A. $x=7,y=-8$
• B. $x=1,y=-5$
• C. $x=2,y=0$
• D. $x=1,y=4$

Answer 1

The correct option is D $x=1,y=4$

According to the question equations are
$\Rightarrow x+3y=\mathrm{13.....}eq\left(1\right)$
$\Rightarrow x=13-3y$
$\Rightarrow 3x+y=\mathrm{7.....}eq\left(2\right)$
$putthevalueofxineq\left(2\right)$
$\Rightarrow 3(13-3y)+y=7$
$\Rightarrow 39-9y+y=7\Rightarrow -8y=-32\Rightarrow y=4$
$putthevalueofyinx=13-3y$
$\Rightarrow x=13-3\times 4\Rightarrow x=1$
$\Rightarrow x=1,y=4$