Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumBy the method of substitution,solve the following pair of linear equations: $3x - 7y = 18, 6x - 14y = 12$.
- A$(1, 3)$
- B$(2, 5)$
- C$(7, 1)$
- D$\varnothing$
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Similar Questions
Find the solution of the pair of equations $\frac{x}{10} + \frac{y}{5} - 1 = 0$ and $\frac{x}{8} + \frac{y}{6} = 15$. Hence,find $\lambda$ if $y = \lambda x + 5$.
Difficult
View SolutionSolve the following pair of equations by the cross-multiplication method:
$\frac{x}{a} - \frac{y}{b} = 0$
$ax + by = a^2 + b^2$
$\frac{x}{a} - \frac{y}{b} = 0$
$ax + by = a^2 + b^2$
Easy
View SolutionIf the lines given by $3x + 2ky = 2$ and $2x + 5y + 1 = 0$ are parallel,then the value of $k$ is
Medium
View SolutionIn $\Delta ABC$,$m \angle A = x$,$m \angle B = 3x$,and $m \angle C = y$. If $3y - 5x = 30$,show that the triangle is right-angled and find the measures of all three angles.
Medium
View SolutionIs the pair of equations $x+2y-3=0$ and $6y+3x-9=0$ consistent? Justify your answer.
Medium
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