Problem

Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
\[
4 x-5 y=17
\]
(a) $(-2$,
(b) $(, 3)$
(a) The ordered-pair solution is $(-2, \square)$.

Answer

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Answer

\(\boxed{(-2, -5)}\) is the ordered-pair solution to the given linear equation.

Steps

Step 1 :Substitute x = -2 into the equation 4x - 5y = 17 to find the missing y-coordinate.

Step 2 :The equation becomes -8 - 5y = 17.

Step 3 :Solving for y, we get y = -5.

Step 4 :\(\boxed{(-2, -5)}\) is the ordered-pair solution to the given linear equation.

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