Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumThe total cost of $7$ pens and $5$ pencils is Rs. $50$,and the total cost of $5$ pens and $7$ pencils is Rs. $46$. Represent this as a pair of linear equations in two variables.
(A) Let the cost of one pen be $x$ and the cost of one pencil be $y$.
According to the first condition,the total cost of $7$ pens and $5$ pencils is Rs. $50$,which can be written as: $7x + 5y = 50$.
According to the second condition,the total cost of $5$ pens and $7$ pencils is Rs. $46$,which can be written as: $5x + 7y = 46$.
Thus,the pair of linear equations is:
$7x + 5y = 50$
$5x + 7y = 46$
According to the first condition,the total cost of $7$ pens and $5$ pencils is Rs. $50$,which can be written as: $7x + 5y = 50$.
According to the second condition,the total cost of $5$ pens and $7$ pencils is Rs. $46$,which can be written as: $5x + 7y = 46$.
Thus,the pair of linear equations is:
$7x + 5y = 50$
$5x + 7y = 46$
Explore More
Similar Questions
From the equation $2x + 3y = 8$,we get $y = \ldots$
Easy
View SolutionThe pair of equations $5x - y = 9$ and $10x - 18 = 2y$ is $\ldots \ldots \ldots \ldots$
Easy
View SolutionIf $3x + 5y = 8$ and $5x + 3y = 24$,then $x - y = \ldots$
Medium
View SolutionThe line represented by $x=7$ is parallel to the $x$-axis. Justify whether the statement is true or not.
Medium
View SolutionIf the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel,then the value of $k$ is
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo