(C) Given equations are: $1) 4x + y = 7$ $2) 16x + 4y = 28$ Divide equation $(2)$ by $4$: $4x + y = 7$ Since both equations are identical,they represe

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(C) Given equations are: $1) 4x + y = 7$ $2) 16x + 4y = 28$ Divide equation $(2)$ by $4$: $4x + y = 7$ Since both equations are identical,they represent the same line on the graph. For any value of $x$,we can find a corresponding value of $y$ such that $y = 7 - 4x$. Therefore,the system has infinitely many solutions. The solution set is ${(x, y) \mid 4x + y = 7; x, y \in R}$.

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

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Solve the following pair of linear equations in two variables using a graph: $4x + y = 7$ and $16x + 4y = 28$.

A
Unique solution
B
No solution
C
Infinitely many solutions
D
None of these

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

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Solve the following pair of linear equations in two variables using a graph: $4x + y = 7$ and $16x + 4y = 28$.

Similar Questions

Solve the following pairs of equations by the method of elimination:$9x + 7y = 55$$7x + 9y = 57$

Which of the following is a linear equation in two variables?

For a pair of equations $2x + 3y = 1$ and $3x - 2y = 8$,in usual notations $a_{1}b_{2} - a_{2}b_{1} = \dots$

The solution set of a pair of equations $5x - 5y = -5$ and $\frac{3x}{2} - \frac{3y}{2} + \frac{3}{2} = 0$ is.........

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

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Solve the following pairs of equations by the method of elimination:
$9x + 7y = 55$
$7x + 9y = 57$