Question

X+y=11
x-y=-5
Please anyone help?

Answer 1

`x=3`

`y=8`

Explanation:

The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.

`\left \{ {{x+y=11} \atop {x-y=-5}} \right.`

As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.

`\left \{ {{x+y=11} \atop {x-y=-5}} \right.`

`(x)+(y)+(x)+(-y)=(11)+(-5)`

Simplify,

`2x=6`

Inverse operations,

`x=3`

Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),

`x+y=11\\`

Substitute,

`(3)+y=11`

Inverse operations,

`y=8`

Answer 2

3,8

Explanation:

you can use the app photo math. just take a picture and you will get your answer