(C) Let the point be $(x, y)$.According to the problem,the $x$-coordinate is $\frac{5}{2}$ times its ordinate $(y)$,so $x = \frac{5}{2}y$.Substitute $

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(C) Let the point be $(x, y)$.According to the problem,the $x$-coordinate is $\frac{5}{2}$ times its ordinate $(y)$,so $x = \frac{5}{2}y$.Substitute $x = \frac{5}{2}y$ into the equation $2x + 5y = 20$:$2(\frac{5}{2}y) + 5y = 20$$5y + 5y = 20$$10y = 20$$y = 2$Now,find the $x$-coordinate using $x = \frac{5}{2}y$:$x = \frac{5}{2}(2) = 5$Thus,the required point is $(5, 2)$.

Class 9 Mathematics Linear Equations in Two Variables Solution of a Linear Equation

Medium

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

A
$(3, 2)$
B
$(3, 0)$
C
$(5, 2)$
D
$(0, 2)$

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Linear Equations in Two Variables

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Solution of a Linear Equation

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

Similar Questions

Draw the graph of the equation represented by a straight line which is parallel to the $x$-axis and at a distance $3$ units below it.

Draw the graph of the linear equation $3x + 4y = 6$. At what points does the graph cut the $x$-axis and the $y$-axis?

State whether the following statement is true or false:The graph of the linear equation $5x - 3y = 30$ intersects the $y$-axis at the point $(6, 0)$.

The linear equation $3x - y = x - 1$ has:

Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

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State whether the following statement is true or false:
The graph of the linear equation $5x - 3y = 30$ intersects the $y$-axis at the point $(6, 0)$.