Use the method of elimination to find the sol | vedclass

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Question

(D) Given equations are:$5x + 6y = 14$ ............ $(1)$$3x - 2y = -14$ ............ $(2)$To eliminate $y$,multiply equation $(2)$ by $3$:$3(3x - 2y)

Vedclass · Accepted Answer

$(-2, 4)$

Vedclass · Answer

(D) Given equations are:$5x + 6y = 14$ ............ $(1)$$3x - 2y = -14$ ............ $(2)$To eliminate $y$,multiply equation $(2)$ by $3$:$3(3x - 2y) = 3(-14) \implies 9x - 6y = -42$ ............ $(3)$Now,add equation $(1)$ and equation $(3)$:$(5x + 6y) + (9x - 6y) = 14 + (-42)$$14x = -28$$x = \frac{-28}{14} = -2$Substitute $x = -2$ into equation $(1)$:$5(-2) + 6y = 14$$-10 + 6y = 14$$6y = 14 + 10$$6y = 24$$y = \frac{24}{6} = 4$Thus,the solution is $(x, y) = (-2, 4)$.

Use the method of elimination to find the solution of the following pair of linear equations: $5x + 6y = 14$ and $3x - 2y = -14$.

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