From the pair of equations x + 2y = 8 dots(1) | vedclass

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(C) To eliminate the variable $y$ using the elimination method,the coefficients of $y$ in both equations must have the same magnitude but opposite sig

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) To eliminate the variable $y$ using the elimination method,the coefficients of $y$ in both equations must have the same magnitude but opposite signs.In equation $(1)$,the coefficient of $y$ is $2$.In equation $(2)$,the coefficient of $y$ is $-4$.To make the coefficients of $y$ equal in magnitude,we multiply equation $(1)$ by $2$,which results in $2(x + 2y) = 2(8)$,giving $2x + 4y = 16$.Now,adding this to equation $(2)$ $(3x - 4y = -6)$ will eliminate $y$.Therefore,the first equation should be multiplied by $2$.

From the pair of equations $x + 2y = 8 \dots(1)$ and $3x - 4y = -6 \dots(2)$,the first equation should be multiplied by ............. to eliminate $y$.

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