Question

Which two ordered pairs are solutions for the equation y=−5x+3 ? Algebra 1 Reference Sheet Link (2 points) Responses (2,−7) open paren 2 comma negative 7 close paren (0,3) open paren 0 comma 3 close paren (2,−13) open paren 2 comma negative 13 close paren (−7,2)

Answer 1

To determine which ordered pairs are solutions for the equation \( y = -5x + 3 \), we will substitute the x-values from each pair into the equation and check if the resulting y-value matches the value given in the ordered pair.

1. For the ordered pair \( (2, -7) \):
- Substitute \( x = 2 \):
\[
y = -5(2) + 3 = -10 + 3 = -7
\]
- This matches the y-value of -7, so \( (2, -7) \) is a solution.

2. For the ordered pair \( (0, 3) \):
- Substitute \( x = 0 \):
\[
y = -5(0) + 3 = 0 + 3 = 3
\]
- This matches the y-value of 3, so \( (0, 3) \) is a solution.

3. For the ordered pair \( (2, -13) \):
- Substitute \( x = 2 \):
\[
y = -5(2) + 3 = -10 + 3 = -7
\]
- This does not match the y-value of -13, so \( (2, -13) \) is not a solution.

4. For the ordered pair \( (-7, 2) \):
- Substitute \( x = -7 \):
\[
y = -5(-7) + 3 = 35 + 3 = 38
\]
- This does not match the y-value of 2, so \( (-7, 2) \) is not a solution.

Therefore, the two ordered pairs that are solutions to the equation \( y = -5x + 3 \) are:

- \( (2, -7) \)
- \( (0, 3) \)