3i+2i−7=18

3 answers

To solve the equation 3i + 2i - 7 = 18, you need to combine like terms and isolate the variable.

First, combine the real and imaginary terms separately:
3i + 2i = 5i

Now, rewrite the equation: 5i - 7 = 18

Next, isolate the variable by adding 7 to both sides:
5i - 7 + 7 = 18 + 7
5i = 25

Finally, divide both sides by 5 to solve for i:
5i/5 = 25/5
i = 5

The solution to the equation 3i + 2i - 7 = 18 is i = 5.
Solve the equation justifying each step with the correct reasoning.

2(x+8)=2x+8
(5 points)
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Step 1: Response area Property to get Response area simplified equation

Step 2: Response area Property to get Response area simplified equation

For this equation, there is/are Response area
Step 1: Distribute the 2 to both terms inside the parentheses:
2(x + 8) = 2x + 16

Step 2: Simplify the equation by combining like terms:
2x + 16 = 2x + 8

For this equation, there is only one step required since the distributive property is applied correctly.