(A) Let the weight of one circle be $x$ and the weight of one square be $y$.From the first balance,we have $3$ circles on the left and $4$ squares on

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(A) Let the weight of one circle be $x$ and the weight of one square be $y$.From the first balance,we have $3$ circles on the left and $4$ squares on the right,which are in equilibrium. Therefore,$3x = 4y$.From the second balance,we have $1$ circle and $2$ squares on the left,and a weight of $10$ units on the right. Therefore,$x + 2y = 10$.Thus,the pair of equations is $3x = 4y$ and $x + 2y = 10$.

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

Difficult

The pair of equations represented by the above figures is:

A
$3x = 4y, x + 2y = 10$
B
$x = y, 2x + y = 10$
C
$2x = y, 2x + y = 10$
D
$x = 2y, x + 2y = 10$

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

In a two-digit number, the digit at the unit's place is $x$ and the digit at the ten's place is $2x$. Then, the number is..........

Medium

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In the pair of equations $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,if $\ldots \ldots \ldots \ldots$ then there is no solution (the solution set is an empty set).

Easy

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Which of the following groups truly matches the data of Part $I$ with the data of Part $II$?

Part $I$ Part $II$

$1.$ The solution of $2x - y = 4$ and $3x - 2y = 5$ $a.$ $x = 3, y = 2$

$2.$ The solution of $5x - y = 14$ and $4x - 3y = 9$ $b.$ $x = 3, y = 1$

$3.$ The solution of $4x - 3y = 5$ and $3x - y = 5$ $c.$ $x = 2, y = 1$

$4.$ The solution of $3x - 2y = -1$ and $2x - 5y = -8$ $d.$ $x = 1, y = 2$

Medium

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Solve the following pair of linear equations:
$x + y = 3.3$
$\frac{0.6}{3x - 2y} = -1$,where $3x - 2y \neq 0$

Difficult

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Solve the following pair of linear equations using the cross-multiplication method:
$5x + 2y = 10$
$4x + 3y - 1 = 0$

Easy

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Part $I$	Part $II$
$1.$ The solution of $2x - y = 4$ and $3x - 2y = 5$	$a.$ $x = 3, y = 2$
$2.$ The solution of $5x - y = 14$ and $4x - 3y = 9$	$b.$ $x = 3, y = 1$
$3.$ The solution of $4x - 3y = 5$ and $3x - y = 5$	$c.$ $x = 2, y = 1$
$4.$ The solution of $3x - 2y = -1$ and $2x - 5y = -8$	$d.$ $x = 1, y = 2$

The pair of equations represented by the above figures is:

Similar Questions

In a two-digit number, the digit at the unit's place is $x$ and the digit at the ten's place is $2x$. Then, the number is..........

In the pair of equations $a_{1}x + b_{1}y + c_{1} = 0$ and $a_{2}x + b_{2}y + c_{2} = 0$,if $\ldots \ldots \ldots \ldots$ then there is no solution (the solution set is an empty set).

Solve the following pair of linear equations:$x + y = 3.3$$\frac{0.6}{3x - 2y} = -1$,where $3x - 2y \neq 0$

Solve the following pair of linear equations using the cross-multiplication method:$5x + 2y = 10$$4x + 3y - 1 = 0$

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Solve the following pair of linear equations:
$x + y = 3.3$
$\frac{0.6}{3x - 2y} = -1$,where $3x - 2y \neq 0$

Solve the following pair of linear equations using the cross-multiplication method:
$5x + 2y = 10$
$4x + 3y - 1 = 0$