Question

How do you find the ordered pair that is the solution of equations y= -x-5 y= x+1?

Answer 1

See the entire solution process below:

Explanation:

Step 1) Because the first equation is already solved in terms of `y`, substitute `color(red)(-x - 5)` into the second equation for `y` and solve for `x`:

`color(red)(-x - 5) = x + 1`

`color(red)(-x) + x - color(red)(5) = x + x + 1`

`0 - 5 = 2x + 1`

`-5 = 2x + 1`

`-5 - color(red)(1) = 2x + 1 - color(red)(1)`

`-6 = 2x + 0`

`-6 = 2x`

`-6/color(red)(2) = (2x)/color(red)(2)`

`-3 = (color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2))`

`-3 = x`

`x = -3`

Step 2) Substitute `color(red)(-3)` for `x` in the first equation and solve for `y`:

`y = -color(red)(-3) - 5`

`y = 3 - 5`

`y = -2`