Solve for j
j=-\frac{2ix}{3}-5i
x\neq 0
Solve for x
x=\frac{3ij-15}{2}
j\neq -5i
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3ij-15=2x
Multiply both sides of the equation by 3x, the least common multiple of x,3x,3.
3ij=2x+15
Add 15 to both sides.
\frac{3ij}{3i}=\frac{2x+15}{3i}
Divide both sides by 3i.
j=\frac{2x+15}{3i}
Dividing by 3i undoes the multiplication by 3i.
j=-\frac{2ix}{3}-5i
Divide 2x+15 by 3i.
3ij-15=2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3x,3.
2x=3ij-15
Swap sides so that all variable terms are on the left hand side.
\frac{2x}{2}=\frac{3ij-15}{2}
Divide both sides by 2.
x=\frac{3ij-15}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{3ij-15}{2}\text{, }x\neq 0
Variable x cannot be equal to 0.
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