(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 Graphical Method of Solution

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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Graphical Method of Solution

The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $Y-axis.$

Easy

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Solve the following pair of linear equations in two variables using a graph: $3x + 6y = 4$ and $2x + 4y = \frac{8}{3}$.

Medium

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Which of the following pairs of linear equations are consistent/inconsistent? If consistent,obtain the solution graphically:
$x+y=5, \quad 2x+2y=10$

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

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The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $Y-axis.$

The graph of the pair of equations $3x + 4y = 10$ and $3x + 4y = 15$ represents:

The solution set of the pair of equations $x+y+1=0$ and $3x+3y+2=0$ is .........

Solve the following pair of linear equations in two variables using a graph: $3x + 6y = 4$ and $2x + 4y = \frac{8}{3}$.

Which of the following pairs of linear equations are consistent/inconsistent? If consistent,obtain the solution graphically:$x+y=5, \quad 2x+2y=10$

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Which of the following pairs of linear equations are consistent/inconsistent? If consistent,obtain the solution graphically:
$x+y=5, \quad 2x+2y=10$