Question

(x+y=3
|-x + y =11
solving systems by substitution​

Answer 1

The solution to the system of equations is (-4,7)

Step-by-step explanation:

Given that the system of equations is
`x+y=3` and
`-x+y=11`

Using substitution method, we shall solve the system of equations.

From the equation
`x+y=3`, let us determine the value of the y.

Thus, we have,

`y=3-x`

Now, substituting
`y=3-x` in the equation
`-x+y=11`, we get,

`-x+3-x=11`

Adding the like terms, we get,

`-2x+3=11`

Subtracting both sides by 3, we have,

`-2x=8`

Dividing both sides by -2, we have,

`x=-4`

Now, substituting
`x=-4` in the equation
`x+y=3`, we get,

`-4+y=3`

Adding both sides by 4, we get,

`y=7`

Thus, the solution to the system of equations is (-4,7)