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question 21 of 26 step 1 of 2 consider the equation and the following o…

Question

question 21 of 26 step 1 of 2
consider the equation and the following ordered pairs: (6, y) and (x, 1).
$y = 2x - 5$
step 1 of 2: compute the missing x and y values so that each ordered pair will satisfy the given equation.
answer 2 points
complete the table below.

xy
1

Explanation:

Step1: Find y when x = 6

Substitute \( x = 6 \) into \( y = 2x - 5 \).
\( y = 2\times6 - 5 = 12 - 5 = 7 \)

Step2: Find x when y = 1

Substitute \( y = 1 \) into \( y = 2x - 5 \), then solve for x.
\( 1 = 2x - 5 \)
Add 5 to both sides: \( 1 + 5 = 2x \)
\( 6 = 2x \)
Divide both sides by 2: \( x = \frac{6}{2} = 3 \)

Answer:

For \( x = 6 \), \( y = 7 \); for \( y = 1 \), \( x = 3 \). So the completed table is:

\( x \)\( y \)
31