Question

How do you solve the system of equations: y=x+3 and 2x+2y=14?

Answer 1

The solutions for the system of equations is
`color(blue)(x=2,y=5`

Explanation:

`y=color(blue)(x+3`............equation `(1)`

`2x+2y=14`.....equation `(2)`

We can solve through substitution , by substituting equation `(1)` in `(2)` to find `x`:

`2x+2(color(blue)(x+3) )=14`
`2x+2x = 14-6`
`4x=8`
`color(blue)(x=2`

Now, we substitute `x` in equation `1` to find `y`
`y=x+3`
`y=2+3`
`color(blue)(y=5`