Finding the Value of y with Given x
To find the value of \( y \) using the known value of \( x \), which is \( -\frac{1}{2} \), we should substitute \( x \) into one of the original equations. Let's use the second equation for this example:
\( 3x + y = 2 \)
Now we substitute \( x \) with \( -\frac{1}{2} \):
\( 3(-\frac{1}{2}) + y = 2 \)
Solve for \( y \):
\( -\frac{3}{2} + y = 2 \)
\( y = 2 + \frac{3}{2} \)
\( y = \frac{4}{2} + \frac{3}{2} \)
\( y = \frac{7}{2} \)
So the value of \( y \) is \( \frac{7}{2} \). Therefore, the correct approach is to use the second option (B), "Input the value of \( x \) into either of the original equations."
