Question - Solving for a Variable in a Linear Equation
Solution:
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.
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