Question

How can i solve for x & y -14 - 3i = 2 x + yi

Answer 1

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