Write the expression in standard form. three divided by quantity three minus twelve i.

3/(3 - 12i)

To simplify this, multiply both sides by (3 + 12i)

(3 - 12i)(3 + 12i)

Distributive property.

3(3 + 12i) - 12i(3 + 12i)

9 + 36i - 36i - 144i^2

Simplify.

9 - 144i^2

i^2 can be interpreted as -1.

9 + 144

Combine like terms.

153 is the simplified version of the bottom half of the expression.

Now for the top half.

3(3 + 12i)

Distributive property.

9 + 36i

We can simplify this further by factoring.

3(3 + 12i)/153

1 + 4i/17

1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)

Let me know if you have any other questions.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18