Question

Complete the ordered pair that is a solution for the equation x2−3y=1
(1 point)
(4,
)

Answer 1

To find the value of \( y \) in the ordered pair \( (4, y) \) that satisfies the equation \( x^2 - 3y = 1 \), we can substitute \( x = 4 \) into the equation.

1. Substitute \( x = 4 \):
\[
(4)^2 - 3y = 1
\]

2. Calculate \( (4)^2 \):
\[
16 - 3y = 1
\]

3. Now, isolate \( -3y \):
\[
-3y = 1 - 16
\]
\[
-3y = -15
\]

4. Divide both sides by \( -3 \):
\[
y = \frac{-15}{-3} = 5
\]

Thus, the solution for the ordered pair is \( (4, 5) \).