Solve for m
m=\frac{3iℓ}{4}+\left(-7-\frac{15}{4}i\right)
Solve for ℓ
ℓ=-\frac{4im}{3}+\left(5-\frac{28}{3}i\right)
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15-28i=3ℓ+4im
Multiply 4 and i to get 4i.
3ℓ+4im=15-28i
Swap sides so that all variable terms are on the left hand side.
4im=15-28i-3ℓ
Subtract 3ℓ from both sides.
\frac{4im}{4i}=\frac{15-28i-3ℓ}{4i}
Divide both sides by 4i.
m=\frac{15-28i-3ℓ}{4i}
Dividing by 4i undoes the multiplication by 4i.
m=\frac{3iℓ}{4}+\left(-7-\frac{15}{4}i\right)
Divide 15-28i-3ℓ by 4i.
15-28i=3ℓ+4im
Multiply 4 and i to get 4i.
3ℓ+4im=15-28i
Swap sides so that all variable terms are on the left hand side.
3ℓ=15-28i-4im
Subtract 4im from both sides.
\frac{3ℓ}{3}=\frac{15-28i-4im}{3}
Divide both sides by 3.
ℓ=\frac{15-28i-4im}{3}
Dividing by 3 undoes the multiplication by 3.
ℓ=-\frac{4im}{3}+\left(5-\frac{28}{3}i\right)
Divide 15-28i-4im by 3.
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