Question

for the two variable equation y=-2x-1 find the matching y value when x= 1/3

Answer 1

To find the matching \( y \) value for the equation \( y = -2x - 1 \) when \( x = \frac{1}{3} \), substitute \( \frac{1}{3} \) in for \( x \):

\[
y = -2\left(\frac{1}{3}\right) - 1
\]

Calculating this step-by-step:

1. Calculate \( -2 \times \frac{1}{3} \):

\[
-2 \times \frac{1}{3} = -\frac{2}{3}
\]

2. Now, substitute this value into the equation:

\[
y = -\frac{2}{3} - 1
\]

3. Convert \( -1 \) to have a common denominator:

\[
-1 = -\frac{3}{3}
\]

4. Now add the two fractions:

\[
y = -\frac{2}{3} - \frac{3}{3} = -\frac{5}{3}
\]

Thus, when \( x = \frac{1}{3} \), the matching \( y \) value is

\[
y = -\frac{5}{3}.
\]