How do you solve the following linear system: 2x+ 3y=-1 , 5x+y=8 2x+3y=1,5x+y=8?

1 Answer

x=25/13,\ y=-21/13

Explanation:

Given that

2x+3y=-1\ .......(1)

5x+y=8\ .......(2)

Multiplying (2) by 3 on both sides & subtracting from (1), we get

2x+3y-3(5x+y)=-1-3\times8

-13x=-25

x=25/13

setting x=25/13 in (2), we get

5(25/13)+y=8

y=8-125/13=-21/13