Questions: Complete each ordered pair so that it is a solution of the given linear equation. y = 1/3 x - 5; (12,), (, 0)

Solution Steps

To complete each ordered pair so that it is a solution of the given linear equation \( y = \frac{1}{3}x - 5 \), we need to substitute the given x-values into the equation to find the corresponding y-values. For the first pair, substitute \( x = 12 \) into the equation to find y. For the second pair, substitute \( y = 0 \) into the equation to find x.

To find the value of \( y \) when \( x = 12 \), we substitute \( x \) into the equation \( y = \frac{1}{3}x - 5 \):

\[ y = \frac{1}{3}(12) - 5 = 4 - 5 = -1 \]

Thus, the first ordered pair is \( (12, -1) \).

To find the value of \( x \) when \( y = 0 \), we substitute \( y \) into the equation \( y = \frac{1}{3}x - 5 \):

\[ 0 = \frac{1}{3}x - 5 \]

Solving for \( x \):

\[ \frac{1}{3}x = 5 \implies x = 5 \cdot 3 = 15 \]

Thus, the second ordered pair is \( (15, 0) \).

Final Answer