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(D) Given equations are:$(1) \ 11x + 13y = 61$$(2) \ 13x + 11y = 59$Adding equations $(1)$ and $(2)$:$(11x + 13x) + (13y + 11y) = 61 + 59$$24x + 24y =

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$(2, 3)$

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(D) Given equations are:$(1) \ 11x + 13y = 61$$(2) \ 13x + 11y = 59$Adding equations $(1)$ and $(2)$:$(11x + 13x) + (13y + 11y) = 61 + 59$$24x + 24y = 120$Dividing by $24$:$x + y = 5$  --- $(3)$Subtracting equation $(1)$ from $(2)$:$(13x - 11x) + (11y - 13y) = 59 - 61$$2x - 2y = -2$Dividing by $2$:$x - y = -1$ --- $(4)$Adding equations $(3)$ and $(4)$:$(x + y) + (x - y) = 5 + (-1)$$2x = 4 \implies x = 2$Substituting $x = 2$ in equation $(3)$:$2 + y = 5 \implies y = 3$Thus,the solution is $(x, y) = (2, 3)$.

Solve the following pair of equations by the method of elimination:
$11x + 13y = 61$
$13x + 11y = 59$

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Solve the following pair of equations by the method of elimination:$11x + 13y = 61$$13x + 11y = 59$