(A) Given equations are:$(1) x + 8y = 19$$(2) 2x + 11y = 28$From equation $(1)$,we can express $x$ in terms of $y$:$x = 19 - 8y$Substitute this value

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(A) Given equations are:$(1) x + 8y = 19$$(2) 2x + 11y = 28$From equation $(1)$,we can express $x$ in terms of $y$:$x = 19 - 8y$Substitute this value of $x$ into equation $(2)$:$2(19 - 8y) + 11y = 28$$38 - 16y + 11y = 28$$38 - 5y = 28$$-5y = 28 - 38$$-5y = -10$$y = 2$Now,substitute $y = 2$ back into the expression for $x$:$x = 19 - 8(2)$$x = 19 - 16$$x = 3$Thus,the solution is $(x, y) = (3, 2)$.

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: $x + 8y = 19$ and $2x + 11y = 28$.

A
$(3, 2)$
B
$(5, 7)$
C
$(4, 1)$
D
$(2, -1)$

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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: $x + 8y = 19$ and $2x + 11y = 28$.

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Solve the following pair of linear equations by the cross-multiplication method:$3x + y = 7$$2x + 3y = 14$

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Solve the following pair of linear equations by the cross-multiplication method:
$3x + y = 7$
$2x + 3y = 14$