Question - Finding the Value of y with Given x
Solution:
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."
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