Question

An equation is given.5y−3x=5Which of the following ordered pairs makes this equation a true statement?(1 point)Responses(5,4)open paren 5 comma 4 close paren(2,−2)open paren 2 comma negative 2 close paren(−2,0)open paren negative 2 comma 0 close paren(0,4)

Answer 1

To determine which ordered pair makes the equation \( 5y - 3x = 5 \) a true statement, we need to substitute each pair into the equation and check for validity.

1. For the pair \( (5, 4) \):
\[
5(4) - 3(5) = 20 - 15 = 5
\]
This is true.

2. For the pair \( (2, -2) \):
\[
5(-2) - 3(2) = -10 - 6 = -16
\]
This is false.

3. For the pair \( (-2, 0) \):
\[
5(0) - 3(-2) = 0 + 6 = 6
\]
This is false.

4. For the pair \( (0, 4) \):
\[
5(4) - 3(0) = 20 - 0 = 20
\]
This is false.

The only ordered pair that satisfies the equation \( 5y - 3x = 5 \) is \( (5, 4) \).

Thus, the correct answer is \( (5, 4) \).