Question

Determine the point on the graph of the equations $2x+5y=20$ whose x-coordinate is $\frac{5}{2}$ times its ordinate.

• A. (2,3)
• B. (2,5)
• C. (5,2)
• D. (5,1)

Answer 1

The correct option is C (5,2)

$2x+5y=20$
$x=\frac{5}{2}y$
$2x+5y=20\Rightarrow 2\times \frac{5y}{2}+5y=20$
$\Rightarrow 10y=20\Rightarrow y=2$
$x=\frac{5}{2}y=\frac{5}{2}\times 2=5$
$\therefore x=5$