Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumSolve the following pair of linear equations by the method of substitution: $x + y = 7$ and $5x + 12y = 7$.
- A$(-11, 4)$
- B$(11, 4)$
- C$(11, -4)$
- D$(-11, -4)$
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Similar Questions
Solve the following pairs of equations:
$4x + \frac{6}{y} = 15$
$6x - \frac{8}{y} = 14, y \neq 0$
$4x + \frac{6}{y} = 15$
$6x - \frac{8}{y} = 14, y \neq 0$
Difficult
View SolutionDo the following equations represent a pair of coincident lines? Justify your answer.
$\frac{x}{2} + y + \frac{2}{5} = 0$
$4x + 8y + \frac{5}{16} = 0$
$\frac{x}{2} + y + \frac{2}{5} = 0$
$4x + 8y + \frac{5}{16} = 0$
Medium
View SolutionFor the pair of equations $\lambda x + 3y = -7$ and $2x + 6y = 14$ to have infinitely many solutions,the value of $\lambda$ should be $1$. Is the statement true? Give reasons.
Difficult
View SolutionFor the pair of equations $2x + 3y = 10$ and $3x - y = 4$,find the value of $x$.
Medium
View SolutionThe sum of the digits of a two-digit number is $9$ and the difference is $1$. The number is ............
Easy
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