Question

y=2x+5
which ordered pair is it? (1,7) (7,1) (1,2) (3,-1)

Answer 1

To determine which ordered pair satisfies the equation \( y = 2x + 5 \), we can substitute the x-coordinate of each pair into the equation and see if the resulting y-coordinate matches.

1. For the pair \( (1, 7) \):
\[
y = 2(1) + 5 = 2 + 5 = 7
\]
This pair satisfies the equation.

2. For the pair \( (7, 1) \):
\[
y = 2(7) + 5 = 14 + 5 = 19
\]
This pair does not satisfy the equation.

3. For the pair \( (1, 2) \):
\[
y = 2(1) + 5 = 2 + 5 = 7
\]
This pair does not satisfy the equation.

4. For the pair \( (3, -1) \):
\[
y = 2(3) + 5 = 6 + 5 = 11
\]
This pair does not satisfy the equation.

The only ordered pair that satisfies the equation \( y = 2x + 5 \) is \( (1, 7) \).