If 2x + y = 35 and 3x + 4y = 65,then find fra | vedclass

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(B) Given equations are:$(1) \ 2x + y = 35$$(2) \ 3x + 4y = 65$From equation $(1)$,we can express $y$ in terms of $x$:$y = 35 - 2x$Substitute this val

Vedclass · Accepted Answer

$3$

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(B) Given equations are:$(1) \ 2x + y = 35$$(2) \ 3x + 4y = 65$From equation $(1)$,we can express $y$ in terms of $x$:$y = 35 - 2x$Substitute this value of $y$ into equation $(2)$:$3x + 4(35 - 2x) = 65$$3x + 140 - 8x = 65$$-5x = 65 - 140$$-5x = -75$$x = 15$Now,substitute $x = 15$ back into the expression for $y$:$y = 35 - 2(15)$$y = 35 - 30$$y = 5$Finally,calculate the ratio $\frac{x}{y}$:$\frac{x}{y} = \frac{15}{5} = 3$Therefore,the correct option is $B$.

If $2x + y = 35$ and $3x + 4y = 65$,then find $\frac{x}{y}$.

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