Question

Solve the
following pair of linear equation
using elimination method
2x+3y + 5 = 0
5x - 3y +9=0

Answer 1

Answer:

$2x + 3y = - 5......(1)$

$5x - 3y = - 9.........(2)$

$equation(1) = x = \frac{ - 5 - 3y}{2}.......(3)$

Putting the value of x in equation 2......

$5( \frac{ - 5 - 3y}{2} ) - 3y = - 9$

$\frac{ - 25 - 15y}{2} - 3y = - 9$

$\frac{ - 25 - 15y - 6y}{2} = - 9$

$\frac{ - 25 - 21y}{2} = - 9$

$- 25 - 21y = - 18$

$- 21y = 7$

$y = \frac{ - 1}{3}$

Putting the value of y in equation (3)

$\frac{ - 5 - 3( - \frac{1}{3} )}{2}$

$\frac{ - 5 + 1}{2}$

$\frac{ - 4}{2}$

$x = - 2$

Therefore, x=-2 &

$y = \frac{ - 1}{3}$

MAY THIS HELP YOU.