Question

3x + y = 4

x - 2y = 3
The solution to the system of equations shown is

(11/7, -5/7)
(6/5, -9/10)
(1, -1)

Answer 1

(11/7 , -5/7) is the right answer

Answer 2

solution is
`((11)/(7), -(5)/(7))`

Explanation:

`3x + y = 4`

`x - 2y = 3`

find the solution to the system of equations.

LEts eliminate x by multiplying second equation by -3

`3x + y = 4`

`-3x +6y = -9` (add both equations)

`7y=-5`

Divide by 7 on both sides

`y=-(5)/(7)`

Now we sovle for x, use second equation

`x - 2y = 3`

Plug in y value

`x - 2(-(5)/(7)) = 3`

`x +(10)/(7) = 3`

Subtract 10/7 on both sides

`x=3-(10)/(7)`, take LCD 7

`x=(11)/(7)`