Solve for z_1
z_{1}=\frac{7+i}{z_{2}}
z_{2}\neq 0
Solve for z_2
z_{2}=\frac{7+i}{z_{1}}
z_{1}\neq 0
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z_{1}z_{2}=7+i
Multiply -1+2i and -1-3i to get 7+i.
z_{2}z_{1}=7+i
The equation is in standard form.
\frac{z_{2}z_{1}}{z_{2}}=\frac{7+i}{z_{2}}
Divide both sides by z_{2}.
z_{1}=\frac{7+i}{z_{2}}
Dividing by z_{2} undoes the multiplication by z_{2}.
z_{1}z_{2}=7+i
Multiply -1+2i and -1-3i to get 7+i.
\frac{z_{1}z_{2}}{z_{1}}=\frac{7+i}{z_{1}}
Divide both sides by z_{1}.
z_{2}=\frac{7+i}{z_{1}}
Dividing by z_{1} undoes the multiplication by z_{1}.
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