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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.
| x | y |
|---|---|
| 1 |
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: \( x = \frac{6}{2} = 3 \)
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For \( x = 6 \), \( y = 7 \); for \( y = 1 \), \( x = 3 \). So the completed table is:
| \( x \) | \( y \) |
|---|---|
| 3 | 1 |