match the equation with its solution:

Question

3i+2i-7=18

answer choices: i=-12, i=5, i=6, i=7, i=11

Answer 1

The equation 3i + 2i - 7 = 18 is simplified as 5i - 7 = 18.

To isolate i, we add 7 to both sides:
5i - 7 + 7 = 18 + 7
5i = 25

Then, we divide both sides by 5:
5i/5 = 25/5
i = 5

Therefore, the solution to the equation 3i + 2i - 7 = 18 is i = 5.

Answer 2

thank you, same answer choices, but a different question

3(2i-7)=15

Answer 3

To solve the equation 3(2i-7) = 15, let's begin by distributing the 3 to the terms inside the parentheses:

6i - 21 = 15

Now, to isolate the variable i, we will add 21 to both sides of the equation:

6i - 21 + 21 = 15 + 21
6i = 36

Lastly, we divide both sides of the equation by 6:

6i/6 = 36/6
i = 6

Therefore, the solution to the equation 3(2i-7) = 15 is i = 6.

Answer 4

what about 3i+5=2i-7

Answer 5

To solve the equation 3i + 5 = 2i - 7, we want to isolate the variable i.

First, let's bring all the terms with i to one side of the equation by subtracting 2i from both sides:

3i - 2i + 5 = 2i - 2i - 7

This simplifies to:

i + 5 = -7

Next, we will isolate i by subtracting 5 from both sides of the equation:

i + 5 - 5 = -7 - 5

This simplifies to:

i = -12

Therefore, the solution to the equation 3i + 5 = 2i - 7 is i = -12.