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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

$3$

Vedclass · Answer

(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 $\frac{x}{y}$.

Similar Questions

Which of the following is a linear equation in two variables?

Do the following equations represent a pair of coincident lines? Justify your answer.
$\frac{x}{2} + y + \frac{2}{5} = 0$
$4x + 8y + \frac{5}{16} = 0$

In a two-digit number,the digit at unit's place is $x$ and the digit at ten's place is $y$. The number obtained by interchanging the digits is ...........

Solve the following pair of linear equations by the method of substitution: $x + y = 7$ and $5x + 12y = 7$.

Solve the following pair of linear equations by the method of substitution: $x + 11y = 1$ and $8x + 13y = 2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module