Solve the following pair of linear equations | vedclass

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

Question

(A) Given equations are:$(1) \ 5x - 3y = 1$$(2) \ 2x + 5y = 19$To eliminate $y$, multiply equation $(1)$ by $5$ and equation $(2)$ by $3$:$25x - 15y =

Vedclass · Accepted Answer

$(2, 3)$

Vedclass · Answer

(A) Given equations are:$(1) \ 5x - 3y = 1$$(2) \ 2x + 5y = 19$To eliminate $y$, multiply equation $(1)$ by $5$ and equation $(2)$ by $3$:$25x - 15y = 5 \quad (3)$$6x + 15y = 57 \quad (4)$Adding equations $(3)$ and $(4)$:$(25x + 6x) + (-15y + 15y) = 5 + 57$$31x = 62$$x = 2$Substitute $x = 2$ into equation $(1)$:$5(2) - 3y = 1$$10 - 3y = 1$$-3y = -9$$y = 3$Thus, the solution is $(x, y) = (2, 3)$.

Solve the following pair of linear equations by the method of elimination:
$5x - 3y = 1$
$2x + 5y = 19$

Similar Questions

Solve the following pairs of equations by the method of elimination:
$\frac{x}{2} + \frac{3y}{5} + 1 = 0$
$\frac{x}{2} + \frac{y}{3} - \frac{1}{3} = 0$

Solve the following pairs of equations by the method of elimination:
$4x - 3y = 5$
$\frac{5}{2}x - y = 4$

Solve the following pairs of equations by the method of elimination:
$x + 3y - 6 = 0$
$2x - y = 5$

Solve the following pair of linear equations by the method of elimination: $2x + 5y = 7$ and $4x + 10y = 12$.

Solve the following pairs of equations by the method of elimination:
$9x + 7y = 55$
$7x + 9y = 57$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Solve the following pair of linear equations by the method of elimination:$5x - 3y = 1$$2x + 5y = 19$