Question

Solve the following system of equations using the elimination method​

Answer 1

`x = (11)/(7) \: \: y = ( - 1)/(7)`

step by step explanation:

`2x + y = 3 - - - - - - -(1) \\ x - 3y = 2 - - - - - - (2) \\ multiplying \: equation \: 2 \: by \: 2\: \\ 2x + y = 3 \\ 2x - 6y =4 \\ subtracting \\ 7y = - 1 \\ dividing \: bothsides \: by \: - 7 \\ y = ( - 1)/(7) \\ put \: y = ( - 1)/(7) into \: equation \:(1) \\ 2x + ( - 1)/(7) = 3 \\ \\ 2x = (3)/(1) + ( 1)/(7) \\ 2x = (21 + 1)/(7) \\ 2x = (24)/(7) \\ dividing \: bothsides \: by \: 2 \\ x = (11)/(7)`