(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 Mix Examples - Linear Equations in Two Variables

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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.

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

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Mix Examples - Linear Equations in Two Variables

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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 linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

Write the following as an equation in two variables: $5 y = 3$.

Show that the points $A(1, 2)$,$B(-1, -16)$,and $C(0, -7)$ lie on the graph of the linear equation $y = 9x - 7$.

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Write the following equation in the form of a linear equation in two variables: $4x - 17 = 0$.

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