(C) pair of linear equations in two variables $x$ and $y$ is given by $x = 6$ and $y = 4$.These equations represent lines parallel to the $y$-axis and

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(C) pair of linear equations in two variables $x$ and $y$ is given by $x = 6$ and $y = 4$.These equations represent lines parallel to the $y$-axis and $x$-axis,respectively.The point of intersection of these two lines provides the unique solution $(x, y)$.Substituting the given values,we get the point $(6, 4)$.Therefore,the solution set is $\{(6, 4)\}$.

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

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The solution set of a pair of equations $x=6$ and $y=4$ is .........

A
$\{(4,6)\}$
B
$\{(3,2)\}$
C
$\{(6,4)\}$
D
$\{(10,2)\}$

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

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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Prashant purchases $2$ mobiles and $3$ memory cards for Rs. $6500$. The cost of one mobile and one memory card is Rs. $2950$. Represent this as a pair of linear equations in two variables.

Medium

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Determine,graphically,the vertices of the triangle formed by the lines $y=x$,$3y=x$,and $x+y=8$.

Difficult

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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

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The solution set of the pair of equations $x+y+1=0$ and $3x+3y+k=0$ is an infinite set. Then $k = \dots$

Medium

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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 solution set of a pair of equations $x=6$ and $y=4$ is .........

Similar Questions

Prashant purchases $2$ mobiles and $3$ memory cards for Rs. $6500$. The cost of one mobile and one memory card is Rs. $2950$. Represent this as a pair of linear equations in two variables.

Determine,graphically,the vertices of the triangle formed by the lines $y=x$,$3y=x$,and $x+y=8$.

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

The solution set of the pair of equations $x+y+1=0$ and $3x+3y+k=0$ is an infinite set. Then $k = \dots$

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