(B) Given equations are:$2x + y = 4$ --- $(1)$$x + 3y = 7$ --- $(2)$To eliminate $x$,multiply equation $(2)$ by $2$:$2(x + 3y) = 2(7) \implies 2x +

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(B) Given equations are:$2x + y = 4$ --- $(1)$$x + 3y = 7$ --- $(2)$To eliminate $x$,multiply equation $(2)$ by $2$:$2(x + 3y) = 2(7) \implies 2x + 6y = 14$ --- $(3)$Now,subtract equation $(1)$ from equation $(3)$:$(2x + 6y) - (2x + y) = 14 - 4$$5y = 10$$y = 2$Substitute $y = 2$ in equation $(1)$:$2x + 2 = 4$$2x = 2$$x = 1$Thus,the solution is $(x, y) = (1, 2)$.

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

Medium

Use the method of elimination to find the solution of the following pair of linear equations: $2x + y = 4$ and $x + 3y = 7$.

A
$(0, 0)$
B
$(1, 2)$
C
$(1, -1)$
D
$(-1, 3)$

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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 pair of linear equations using a graph: $3x + 6y = 3900, x + 3y = 1300$

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Solve the pair of linear equations $2x + y = 40$ and $x + y = 30$. If the solution satisfies the equation $y = mx + 6$,find the value of $m$.

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The graph of the equation $\ldots \ldots \ldots \ldots$ is parallel to the $Y$-axis.

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Solve the following pair of linear equations in two variables graphically: $2x + 3y = 12$ and $2x + 3y = 6$.

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The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $Y-axis.$

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Use the method of elimination to find the solution of the following pair of linear equations: $2x + y = 4$ and $x + 3y = 7$.

Similar Questions

Solve the following pair of linear equations using a graph: $3x + 6y = 3900, x + 3y = 1300$

Solve the pair of linear equations $2x + y = 40$ and $x + y = 30$. If the solution satisfies the equation $y = mx + 6$,find the value of $m$.

The graph of the equation $\ldots \ldots \ldots \ldots$ is parallel to the $Y$-axis.

Solve the following pair of linear equations in two variables graphically: $2x + 3y = 12$ and $2x + 3y = 6$.

The graph of the equation $\ldots \ldots \ldots \ldots$ is a line perpendicular to the $Y-axis.$

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