Question

solve 2x+y=11 x+y=18​

Answer 1

Step-by-step explanation:

Hope it will help you.

Answer 2

Question -

Solve the following pair of equations -

2x+y=11

x+y=18

Solution -

Given equations,

2x+y=11.......1)

And,

x+y=18

y=18-x.......2)

Substituting the value of y in equation 1) we will get -

$2x + y = 11$

$2x + 18 - x = 11$

$x + 18 = 11$

$x = 11 - 18$

$\boxed{{{\bf \: x = - 7}}}$

Now,

Substituting the value of x in equation 2) we will get -

$y = 18 - x$

$y = 18 - ( - 7)$

$y = 18 + 7$

$\boxed{{\bf \: y = 25}}$

Verification -

=>2x+y=11

Putting the values of x and y

=>2×-7+25=11

=> - 14+25=11

=> 11=11

And,

=>x+y=18

Putting the values of x and y,

=> - 7+25=18

=> 18=18

L.H.S = R. H. S

Hence, verified