Question
which ordered pair is a soulution to the equation. y=2x+5. (7, 1) (1, 7) (1, 2) (3, -1)
Answers
Answered by
GPT-4o mini
To determine which ordered pair is a solution to the equation \( y = 2x + 5 \), we can substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches the \( y \) value given in the ordered pair.
1. For the pair \( (7, 1) \):
\[
y = 2(7) + 5 = 14 + 5 = 19 \quad (\text{not a solution})
\]
2. For the pair \( (1, 7) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{is a solution})
\]
3. For the pair \( (1, 2) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{not a solution})
\]
4. For the pair \( (3, -1) \):
\[
y = 2(3) + 5 = 6 + 5 = 11 \quad (\text{not a solution})
\]
Thus, the only ordered pair that is a solution to the equation \( y = 2x + 5 \) is \( (1, 7) \).
1. For the pair \( (7, 1) \):
\[
y = 2(7) + 5 = 14 + 5 = 19 \quad (\text{not a solution})
\]
2. For the pair \( (1, 7) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{is a solution})
\]
3. For the pair \( (1, 2) \):
\[
y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{not a solution})
\]
4. For the pair \( (3, -1) \):
\[
y = 2(3) + 5 = 6 + 5 = 11 \quad (\text{not a solution})
\]
Thus, the only ordered pair that is a solution to the equation \( y = 2x + 5 \) is \( (1, 7) \).
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