(A) Given equations are:$(1)$ $3x + y + 1 = 0$$(2)$ $2x - 3y + 8 = 0$From equation $(1)$,we can express $y$ in terms of $x$:$y = -3x - 1$ $(3)$Substit

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(A) Given equations are:$(1)$ $3x + y + 1 = 0$$(2)$ $2x - 3y + 8 = 0$From equation $(1)$,we can express $y$ in terms of $x$:$y = -3x - 1$ $(3)$Substitute the value of $y$ from equation $(3)$ into equation $(2)$:$2x - 3(-3x - 1) + 8 = 0$$2x + 9x + 3 + 8 = 0$$11x + 11 = 0$$11x = -11$$x = -1$Now,substitute $x = -1$ into equation $(3)$:$y = -3(-1) - 1$$y = 3 - 1$$y = 2$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

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Solve the following pair of linear equations by the method of substitution: $3x + y + 1 = 0$ and $2x - 3y + 8 = 0$.

A
$(-1, 2)$
B
$(1, -4)$
C
$(0, 3)$
D
$(2, -7)$

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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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Subtraction of two numbers is $5$. If the larger number is $x$,then the smaller number is $y = \ldots \ldots \ldots \ldots$

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Obtain the solution of the following pair of equations by the cross-multiplication method: $ax + by = 1$ and $bx + ay = \frac{2ab}{a^2 + b^2}$.

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Solve the following pair of linear equations by the method of substitution: $3x + y + 1 = 0$ and $2x - 3y + 8 = 0$.

Similar Questions

The length of a rectangle is $5$ less than twice its breadth. If its perimeter is $110,$ find the area of the rectangle. Use the cross-multiplication method for the solution.

For all real values of $c,$ the pair of equations $x-2y=8$ and $5x-10y=c$ have a unique solution. Justify whether it is true or false.

The graph of a pair of lines $3x - 2y = 2$ and $6x - 4y = 4$ is.........

Subtraction of two numbers is $5$. If the larger number is $x$,then the smaller number is $y = \ldots \ldots \ldots \ldots$

Obtain the solution of the following pair of equations by the cross-multiplication method: $ax + by = 1$ and $bx + ay = \frac{2ab}{a^2 + b^2}$.

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