(D) Given equations are:$x+y-3=0$ --- $(1)$$3x+3y-9=0$ --- $(2)$Dividing equation $(2)$ by $3$,we get:$x+y-3=0$Since both equations are identical,th

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(D) Given equations are:$x+y-3=0$ --- $(1)$$3x+3y-9=0$ --- $(2)$Dividing equation $(2)$ by $3$,we get:$x+y-3=0$Since both equations are identical,they represent the same line.Therefore,every point on the line $x+y=3$ is a solution to the system.Thus,the system has infinitely many solutions,and the solution set is an infinite set.

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 $x+y-3=0$ and $3x+3y-9=0$ is ............

A
$\{(1,0)\}$
B
$\{(0,1)\}$
C
an empty set
D
an infinite set

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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 pairs of equations by the method of elimination:
$5x - 3y = 1$
$2x + 5y = 19$

Easy

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The solution set of $2x + 3y + 5 = 0$ and $4x + 6y + 10 = 0$ is........

Medium

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For all real values of $c,$ the pair of equations $x-2y=8$ and $5x-10y=c$ have a unique solution. Justify whether it is true or false.

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Solve the following pair of linear equations in two variables using a graph: $x + y = 8$ and $x - y = 2$.

Medium

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The intersection point in the graph of a pair of equations $x=0$ and $y=0$ is.........

Medium

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The solution set of $x+y-3=0$ and $3x+3y-9=0$ is ............

Similar Questions

Solve the following pairs of equations by the method of elimination:$5x - 3y = 1$$2x + 5y = 19$

The solution set of $2x + 3y + 5 = 0$ and $4x + 6y + 10 = 0$ is........

For all real values of $c,$ the pair of equations $x-2y=8$ and $5x-10y=c$ have a unique solution. Justify whether it is true or false.

Solve the following pair of linear equations in two variables using a graph: $x + y = 8$ and $x - y = 2$.

The intersection point in the graph of a pair of equations $x=0$ and $y=0$ is.........

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Solve the following pairs of equations by the method of elimination:
$5x - 3y = 1$
$2x + 5y = 19$