Question

solve the following simultaneous equation. 2x+y=1 ; 5x-y= 13.​

Answer 1

Step-by-step explanation:

please mark as brainlist answer

Answer 2

2x+y=1 .......(1)

5x-y= 13. ...........(2)

Frm eqn (1)

2x = 1-y

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

Putting value of x in eqn (2)

$5( \frac{1 - y}{2} ) - y = 13$

$\frac{5 - 5y}{2} - y = 13$

$5 - 5y - 2y = 26$

$5 - 7y = 26$

$- 7y = 26 - 5$

$- 7y = 21$

$- y = \frac{21}{7}$

$y = - 3$

putting the value of y in eqn (3)

$x = \frac{1 - ( - 3)}{2}$

$x = \frac{1 + 3}{2}$

$x = \frac{4}{2}$

$x = 2$

Therefore, x = 2

y = -3