(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 $

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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

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
$(0, 2)$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Linear Equations in Two Variables

Subtopic

Mix Examples - Linear Equations in Two Variables

If $(4, 3)$ is a solution of the equation $3x - 4y = k$,then find the value of $k$.

Easy

View Solution

Write whether the following statement is True or False. Justify your answer:
The graph given below represents the linear equation $x + y = 0$.

Easy

View Solution

Write the following as an equation in two variables: $8 y - 15 = 0$.

Easy

View Solution

Write four solutions for the following equation: $3x + 5y = 0$.

Medium

View Solution

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.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

Similar Questions

If $(4, 3)$ is a solution of the equation $3x - 4y = k$,then find the value of $k$.

Write whether the following statement is True or False. Justify your answer:The graph given below represents the linear equation $x + y = 0$.

Write the following as an equation in two variables: $8 y - 15 = 0$.

Write four solutions for the following equation: $3x + 5y = 0$.

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.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Write whether the following statement is True or False. Justify your answer:
The graph given below represents the linear equation $x + y = 0$.