Determine point on graph of equation 2 x+5 y=20 whose x -coordinate is frac{5}{2} times its ordinate

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4. Linear Equations in Two Variables

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

A

$(3,2)$

B

$(3,0)$

C

$(5,2)$

D

$(0,2)$

Solution

As the $x$ -coordinate of the point is $\frac{5}{2}$ times its ordinate, therefore, $x=\frac{5}{2} y.$

Now putting $x=\frac{5}{2} y$ in $2 x+5 y=20,$ we get, $y=2 .$ Therefore, $x=5 .$

Thus, the required point is $(5,2).$

Standard 9

Mathematics

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