Question

Solve : - x+y=3, 2x+5y=12 in elimination method

Answer 1

I hope this will help you

Answer 2

Answer:

solutions for given equation x = 1, y=3

Step-by-step explanation:

Given equations    $x + y =3$  _(1)

                           $2x+5y =12$_ (2)

to solve equations the coefficients of any variable must be equal

2 × equation(1) ⇒   $2x+2y=6$ _(3)  

1 × equation(2) ⇒   $2x+5y =12$ _(4)  

equation(3) -equation(4) =  $2x+2y -(2x+5y) =6-12$

                                         =  $2x+2y-2x-5y =-6$

                                         =  $2y -5y =-6$

                                         = $-3y =-6$

                                          =  $y=2$

substitute y=2 in equation (1) ⇒  $x +2 =3$

                                                     x = 1

the solutions are x =1, y=2