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

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Answer 1 · 2017-04-11T17:08:49

See the entire solution process below:

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

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

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

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

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

$6 x + 0 = - 3$ $6x + 0 = -3$

$6 x = - 3$ $6x = -3$

$\frac{6 x}{6} = - \frac{3}{6}$ $(6x)/color(red)(6) = -3/color(red)(6)$

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

$x = -1/2$

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