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How do you complete each ordered pair (4, _) so that it is a solution to 6x - y = 7?

1 Answer

May 12, 2016

$(4, 17)$ $(4,color(blue)(17))$

Explanation:

Let the missing value be $k$ $k$
so that $(4, k)$ $(4,k)$ is a solution to the equation
$XXX 6 x - y = 7$ $color(white)("XXX")6x-y=7$

Substituting $(4, k)$ $(4,k)$ for $(x, y)$ $(x,y)$ (i.e. $4$ $4$ for $x$ $x$ and $k$ $k$ for $y$ $y$ )
we get
$XXX 6 \cdot (4) - k = 7$ $color(white)("XXX")6*(4)-k=7$

$XXX 24 - y = 7$ $color(white)("XXX")24-y=7$

$XXX y = 17$ $color(white)("XXX") y=17$

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