(C) Given equations are $2x + y = 6$ $(1)$ and $x + \frac{1}{2}y = 4$ $(2)$.Multiply equation $(2)$ by $2$,we get $2x + y = 8$.Comparing the two equat

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(C) Given equations are $2x + y = 6$ $(1)$ and $x + \frac{1}{2}y = 4$ $(2)$.Multiply equation $(2)$ by $2$,we get $2x + y = 8$.Comparing the two equations:$2x + y = 6$$2x + y = 8$Here,the coefficients of $x$ and $y$ are the same,but the constants are different $(6 \neq 8)$.This represents two parallel lines.Therefore,the system has no solution.

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

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The pair of equations $2x + y = 6$ and $x + \frac{1}{2}y = 4$ has.........

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unique solution
B
two solutions
C
no solution
D
infinite solutions

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

The graph of the pair of equations $x+y=7$ and $3x+3y=21$ is:

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

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Solve the following pair of linear equations using a graph: $x+y=7$,$5x+2y=20$.

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Solve the following pair of equations by the method of cross multiplication:
$ax + by - a + b = 0$
$bx - ay - a - b = 0$

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The denominator of a fraction is $6$ more than the numerator. If $1$ is added to the numerator and $3$ is subtracted from the denominator,the fraction becomes $\frac{3}{4}$. Find the fraction.

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The pair of equations $2x + y = 6$ and $x + \frac{1}{2}y = 4$ has.........

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The graph of the pair of equations $x+y=7$ and $3x+3y=21$ is:

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

Solve the following pair of linear equations using a graph: $x+y=7$,$5x+2y=20$.

Solve the following pair of equations by the method of cross multiplication:$ax + by - a + b = 0$$bx - ay - a - b = 0$

The denominator of a fraction is $6$ more than the numerator. If $1$ is added to the numerator and $3$ is subtracted from the denominator,the fraction becomes $\frac{3}{4}$. Find the fraction.

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Solve the following pair of equations by the method of cross multiplication:
$ax + by - a + b = 0$
$bx - ay - a - b = 0$