Solving for x
Since x is on the right hand side of the equation switch the sides so it is on the left hand side of the equation.
2x+yi=−14−3i
Since yi does not contain the variable to solve for move it to the right-hand side of the equation by subtracting yi from both sides.
2x=−yi−14−3i
Divide each term in the equation by 2.
x=−yi/2−7−3i/2
Solving for y
Since y is on the right hand side of the equation switch the sides so it is on the left hand side of the equation.
2x+yi=−14−3i
Since 2x does not contain the variable to solve for move it to the right hand side of the equation by subtracting 2x from both sides.
yi=−2x−14−3i
Divide each term in the equation by i.
y=2xi+14i−3
x=−yi/2−7−3i/2
y=2xi+14i−3