Solve for a
a=-\frac{7b}{2}+\frac{11}{2}i
Solve for b
b=-\frac{2a}{7}+\frac{11}{7}i
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2a+7b=11i
Swap sides so that all variable terms are on the left hand side.
2a=11i-7b
Subtract 7b from both sides.
\frac{2a}{2}=\frac{11i-7b}{2}
Divide both sides by 2.
a=\frac{11i-7b}{2}
Dividing by 2 undoes the multiplication by 2.
a=-\frac{7b}{2}+\frac{11}{2}i
Divide 11i-7b by 2.
2a+7b=11i
Swap sides so that all variable terms are on the left hand side.
7b=11i-2a
Subtract 2a from both sides.
\frac{7b}{7}=\frac{11i-2a}{7}
Divide both sides by 7.
b=\frac{11i-2a}{7}
Dividing by 7 undoes the multiplication by 7.
b=-\frac{2a}{7}+\frac{11}{7}i
Divide 11i-2a by 7.
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