Solve for x
x=-\frac{iy}{2}+\left(-7-\frac{3}{2}i\right)
Solve for y
y=2ix+\left(-3+14i\right)
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2x+yi=-14-3i
Swap sides so that all variable terms are on the left hand side.
2x=-14-3i-yi
Subtract yi from both sides.
2x=-14-3i-iy
Multiply -1 and i to get -i.
\frac{2x}{2}=\frac{-14-3i-iy}{2}
Divide both sides by 2.
x=\frac{-14-3i-iy}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{iy}{2}+\left(-7-\frac{3}{2}i\right)
Divide -14-3i-iy by 2.
2x+yi=-14-3i
Swap sides so that all variable terms are on the left hand side.
yi=-14-3i-2x
Subtract 2x from both sides.
iy=-14-3i-2x
The equation is in standard form.
\frac{iy}{i}=\frac{-14-3i-2x}{i}
Divide both sides by i.
y=\frac{-14-3i-2x}{i}
Dividing by i undoes the multiplication by i.
y=2ix+\left(-3+14i\right)
Divide -14-3i-2x by i.
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