Question

Given the system of equations, what is the solution?

x + 2y = 11

x - 2y = -1

{(1, 1)}
{(-5, -3)}
{(5, 3)}

Answer 1

x = 5

y = 3

Explanation:

Given:

Two equations are given.

`x + 2y = 11`

`x - 2y = -1`

We need to solve the system of equations.

Solution:

Rewrite the equation as:

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

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

First we solve the equation 1 for x.

`x=11-2y` ----------(3)

plug in
`x=11-2y` in equation 2.

`11-2y-2y=-1`

`11-4y=-1`

`4y=11+1`

`4y=12`

`y=(12)/(4)`

y = 3

Now, we substitute y = 3 in equation 3.

`x= 11-2(3)`

`x=11-6`

x = 5

Therefore, Value of x = 5 and y = 3.