Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumFor a pair of equations $5x - 4y = 1$ and $10x = 8y + 2$,in usual notations $a_{1}b_{2} - a_{2}b_{1} = \dots$
- A$40$
- B$-40$
- C$0$
- D$-80$
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Similar Questions
Which of the following groups matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$ $1. x+2y=3, 2x+4y=5$ $a. \text{Solution set is a singleton set.}$ $2. 2x+3y=6, x+\frac{3}{2}y=3$ $b. \text{Solution set is an empty set.}$ $3. 3x-y=0, x-y+6=0$ $c. \text{Solution set is an infinite set.}$ $d. \text{Solution set contains two members.}$
| Part $I$ | Part $II$ |
| $1. x+2y=3, 2x+4y=5$ | $a. \text{Solution set is a singleton set.}$ |
| $2. 2x+3y=6, x+\frac{3}{2}y=3$ | $b. \text{Solution set is an empty set.}$ |
| $3. 3x-y=0, x-y+6=0$ | $c. \text{Solution set is an infinite set.}$ |
| $d. \text{Solution set contains two members.}$ |
Difficult
View SolutionFind the value of $k$ for which the following pair of linear equations has infinitely many solutions:
$kx + 3y = k - 3$
$12x + ky = k$
$kx + 3y = k - 3$
$12x + ky = k$
Medium
View SolutionIf $5x + 3y = 10xy$ $(x \neq 0, y \neq 0)$,then $\frac{6}{x} + \frac{10}{y} = ...........$
Medium
View SolutionSolve the following pair of linear equations by the cross-multiplication method:
$3x + y = 7$
$2x + 3y = 14$
$3x + y = 7$
$2x + 3y = 14$
Easy
View Solution$A$ two-digit number is obtained by either multiplying the sum of the digits by $8$ and adding $1$,or by multiplying the difference of the digits by $13$ and adding $2$. Find the number.
Medium
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