Question

Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 {(-5, -3)} {(1, 1)} {(5, 3)}

Answer 1

x + 2y = 11
x - 2y = -1
---------------add
2x = 10
x = 10/2
x = 5

x + 2y = 11
5 + 2y = 11
2y = 11 - 5
2y = 6
y = 6/2
y = 3

solution is : (5,3)

Answer 2

The solution is (5, 3)

Explanation:

Given two equations

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

`x-2y=-1...(2)`

we have to solve the above equations using elimination method.

Adding equation 1 and 2

`x+2y+x-2y=11-1`

`2x=10`

Dividing by 2, we get

`x=(10)/(2)=5`

(1) implies x+2y=11

`5+2y=11`

`2y=6`

`y=(6)/(2)=3`

hence, the solution is (5, 3)