(C) Given equation is $\frac{2}{3} x + \frac{3}{2} y = 5$.To simplify,multiply the entire equation by the least common multiple of the denominators $3

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

(C) Given equation is $\frac{2}{3} x + \frac{3}{2} y = 5$.To simplify,multiply the entire equation by the least common multiple of the denominators $3$ and $2$,which is $6$.$\frac{2}{3} x \times 6 + \frac{3}{2} y \times 6 = 5 \times 6$$4 x + 9 y = 30$.Thus,the equation $4 x + 9 y = 30$ is equivalent to the given equation.

Class 10 Mathematics Pair of Linear Equations in Two Variables Mix Examples - Pair of Linear Equations in Two Variables

Easy

The equations $\frac{2}{3} x + \frac{3}{2} y = 5$ and $\ldots \ldots \ldots$ are the same.

A
$2 x + 3 y = 5$
B
$4 x + 9 y = 5$
C
$4 x + 9 y = 30$
D
$10 x + 15 y = 5$

Explore More

Browse All

Question Bank

All Subjects

Class 10 Questions

Class 10

Mathematics Questions

Chapter

Pair of Linear Equations in Two Variables

Subtopic

Mix Examples - Pair of Linear Equations in Two Variables

For a pair of equations $\frac{2}{x} + \frac{3}{y} = 17$ and $\frac{3}{x} + \frac{2}{y} = 13$,find the value of $\frac{1}{x} + \frac{1}{y}$.

Medium

View Solution

If a pair of linear equations is consistent,then the lines will be

Medium

View Solution

Solve the following pairs of equations:
$43x + 67y = -24$
$67x + 43y = 24$

Difficult

View Solution

The age of the father is twice the sum of the ages of his two children. After $20$ years,his age will be equal to the sum of the ages of his children. Find the age of the father (in years).

Medium

View Solution

Solve the following pair of linear equations: $\frac{25}{x+y} - \frac{7}{x-y} = -2$ and $\frac{15}{x+y} - \frac{7}{x-y} = -4$.

Difficult

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

The equations $\frac{2}{3} x + \frac{3}{2} y = 5$ and $\ldots \ldots \ldots$ are the same.

Similar Questions

For a pair of equations $\frac{2}{x} + \frac{3}{y} = 17$ and $\frac{3}{x} + \frac{2}{y} = 13$,find the value of $\frac{1}{x} + \frac{1}{y}$.

If a pair of linear equations is consistent,then the lines will be

Solve the following pairs of equations:$43x + 67y = -24$$67x + 43y = 24$

The age of the father is twice the sum of the ages of his two children. After $20$ years,his age will be equal to the sum of the ages of his children. Find the age of the father (in years).

Solve the following pair of linear equations: $\frac{25}{x+y} - \frac{7}{x-y} = -2$ and $\frac{15}{x+y} - \frac{7}{x-y} = -4$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Solve the following pairs of equations:
$43x + 67y = -24$
$67x + 43y = 24$