(A) system of linear equations in two variables $x$ and $y$ is represented as a coordinate pair $(x, y)$.Given the equations $x = 4$ and $y = 5$,the v

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(A) system of linear equations in two variables $x$ and $y$ is represented as a coordinate pair $(x, y)$.Given the equations $x = 4$ and $y = 5$,the value of $x$ is fixed at $4$ and the value of $y$ is fixed at $5$.Therefore,the unique solution point where these two lines intersect is $(4, 5)$.Thus,the solution set is ${(4, 5)}$.

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

Medium

The solution set of a pair of equations $x=4$ and $y=5$ is $\ldots \ldots \ldots \ldots$

A
$\{(4,5)\}$
B
$\{(5,5)\}$
C
$\{(5,4)\}$
D
$\{(4,4)\}$

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

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

Easy

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The sum of the digits of a two-digit number is $9$. The number obtained by interchanging the digits exceeds the original number by $45$. Find the original number.

Difficult

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Solve the following pair of linear equations by the method of substitution: $x + 11y = 1$ and $8x + 13y = 2$.

Medium

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If a pair of equations $3x + ky - 9 = 0$ and $x + 2y - 3 = 0$ has infinite solutions,then $k = \ldots$

Medium

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The sum of two numbers is $8$. If the smaller number is $y$,then the larger number $x = \ldots \ldots \ldots \ldots$

Medium

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The solution set of a pair of equations $x=4$ and $y=5$ is $\ldots \ldots \ldots \ldots$

Similar Questions

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

The sum of the digits of a two-digit number is $9$. The number obtained by interchanging the digits exceeds the original number by $45$. Find the original number.

Solve the following pair of linear equations by the method of substitution: $x + 11y = 1$ and $8x + 13y = 2$.

If a pair of equations $3x + ky - 9 = 0$ and $x + 2y - 3 = 0$ has infinite solutions,then $k = \ldots$

The sum of two numbers is $8$. If the smaller number is $y$,then the larger number $x = \ldots \ldots \ldots \ldots$

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