Solving for a Variable in a Linear Equation
To find the value of \( y \), we can use the given value of \( x \) in one of the original equations. In this case, since \( x = -1/2 \), we can substitute this value for \( x \) in either of the two equations.
Let's use the first equation for this purpose:
\[
-2x + 4y = 15
\]
Substitute \( x = -1/2 \) into this equation:
\[
-2(-1/2) + 4y = 15
\]
Now simplify:
\[
1 + 4y = 15
\]
Then solve for \( y \) by subtracting 1 from both sides:
\[
4y = 14
\]
Finally, divide both sides by 4 to solve for \( y \):
\[
y = \frac{14}{4}
\]
\[
y = \frac{7}{2}
\]
\[
y = 3.5
\]
So, the value of \( y \) is 3.5.
