Question

How do you complete each ordered pair (_, -10) so that it is a solution to 6x - y = 7?

Answer 1

See the entire solution process below:

Explanation:

Substitute `color(red)(-10)` for `color(red)(y)` in the equation and solve for `x` to find the first value in the ordered pair:

`6x - color(red)(y) = 7` becomes:

`6x - color(red)(-10) = 7`

`6x + color(red)(10) = 7`

`6x + color(red)(10) - 10 = 7 - 10`

`6x + 0 = -3`

`6x = -3`

`(6x)/color(red)(6) = -3/color(red)(6)`

`(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = -1/2`

`x = -1/2`

The ordered pair is: `(-1/2, -10)`