Question

X+2y= 7 and 5x- 6y=10 find x and y

Answer 1

Answer:

$\large\boxed{\sf{x=\dfrac{62}{16}\;,\;y=\dfrac{25}{16}}}$

Step-by-step explanation:

Given a pair of linear equations:

x + 2y = 7 .......(1)

5x - 6y = 10 .......(2)

To find the values of x and y,

Solving eqn (1), we get,

=> x = 7 - 2y

Now, substitute this value in (2),

Therefore, we will get,

=> 5(7 - 2y) - 6y = 10

=> 35 - 10y - 6y = 10

=> -16 y = 10 - 35

=> -16y = -25

=> 16y = 25

=> y = 25/16

Therefore, we will get,

=> x = 7 - 2(25/16)

=> x = 7 - 50/16

=> x = (112-50)/16

=> x = 62/16

Hence, values of x = 62/16 and y = 25/16.