(A) Given equations are:$3x - 4y - 17 = 0$ --- $(1)$$4x - 5y - 21 = 0$ --- $(2)$Using the cross-multiplication method:$\frac{x}{(-4)(-21) - (-5)(-17

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

(A) Given equations are:$3x - 4y - 17 = 0$ --- $(1)$$4x - 5y - 21 = 0$ --- $(2)$Using the cross-multiplication method:$\frac{x}{(-4)(-21) - (-5)(-17)} = \frac{y}{(-17)(4) - (-21)(3)} = \frac{1}{(3)(-5) - (4)(-4)}$$\frac{x}{84 - 85} = \frac{y}{-68 + 63} = \frac{1}{-15 + 16}$$\frac{x}{-1} = \frac{y}{-5} = \frac{1}{1}$Therefore,$x = -1$ and $y = -5$.The solution is $(-1, -5)$.

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

Easy

Solve the following pairs of equations by cross-multiplication method:
$3x - 4y = 17$
$4x - 5y = 21$

A
$(-1, -5)$
B
$(-2, 0)$
C
$(-1, 1)$
D
$(2, 1)$

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

If $3x + 5y = 8$ and $5x + 3y = 24$,then $x - y = \ldots$

Medium

View Solution

In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

Medium

View Solution

Obtain the solution of the following pair of equations by the cross-multiplication method: $ax + by = 1$ and $bx + ay = \frac{2ab}{a^2 + b^2}$.

Medium

View Solution

For what value$(s)$ of $k$ does the pair of equations $kx + 3y = k - 3$ and $12x + ky = k$ have no solution?

Difficult

View Solution

$(-1, 3)$ is not a solution of the equation $\ldots \ldots \ldots \ldots$

Medium

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

Solve the following pairs of equations by cross-multiplication method:$3x - 4y = 17$$4x - 5y = 21$

Similar Questions

If $3x + 5y = 8$ and $5x + 3y = 24$,then $x - y = \ldots$

In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

Obtain the solution of the following pair of equations by the cross-multiplication method: $ax + by = 1$ and $bx + ay = \frac{2ab}{a^2 + b^2}$.

For what value$(s)$ of $k$ does the pair of equations $kx + 3y = k - 3$ and $12x + ky = k$ have no solution?

$(-1, 3)$ is not a solution of the equation $\ldots \ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Solve the following pairs of equations by cross-multiplication method:
$3x - 4y = 17$
$4x - 5y = 21$