Question

Solve for \(y\). $$9 x-2 y=14$$

Short answer

The solution to the equation is \(y = (9x - 14) / 2\).

Step-by-step solution

Identify the variable to isolate

Identify the variable that needs to be solved for, which in this case is \(y\). The equation is \(9x - 2y = 14\).

Move the other variable term to the opposite side of the equation

The \(9x\) is currently on the same side as the -2y. To get rid of the \(9x\) on the left side of the equation, perform the inverse operation (addition) of the operation on the \(9x\). Add \(-9x\) to both sides of the equation. This results in \(-2y = 14 - 9x\).

Isolate the variable

\(-2y\) is currently being multiplied by -2. Divide both sides of the equation by -2 to isolate \(y\). This gives the final solution as \(y = (9x - 14) / 2\).