(3x + 4) + (5y -1) = 10 - 16i

A. x = 2, y = -3
B. x = 1, y = -2
C. x = 3, y = 2
D. x = -3, y = 1

think the answer is C

What's the question? If the question says, which of the following points satisfies the equation, then there is no answer.

Probably there is a typo...

this question is to

Solve for x and y.

You have two variables, but only one equation.

Can't be solved, as Jai pointed out to you

If C is your choice, then x=3,y=2
Left Side = (9+4) + (10-1)
= 22
≠ RS

doesn't satisfy, (none of them do)

To solve the given equation (3x + 4) + (5y - 1) = 10 - 16i, we need to simplify both sides of the equation by combining like terms.

On the left side, we can combine the terms within parentheses:

3x + 4 + 5y - 1 = 10 - 16i

Simplifying further, we have:

3x + 5y + 3 = 10 - 16i

Now, we can rearrange the equation to isolate the variables:

3x + 5y = 10 - 3 - 16i
3x + 5y = 7 - 16i

Comparing the resulting equation to the options provided, we can determine the correct values of x and y.

Let's examine option C: x = 3, y = 2.

Substituting these values into the equation:

3(3) + 5(2) = 7 - 16i
9 + 10 = 7 - 16i
19 = 7 - 16i

Since 19 does not equal 7 - 16i, we can conclude that option C is not the correct answer.

To find the correct answer, we can try the remaining options by substituting x and y into the equation.

Let's examine option D: x = -3, y = 1.

Substituting these values into the equation:

3(-3) + 5(1) = 7 - 16i
-9 + 5 = 7 - 16i
-4 = 7 - 16i

Since -4 does not equal 7 - 16i, option D is also not the correct answer.

By process of elimination, we can conclude that the correct answer is option A: x = 2, y = -3.

Substituting these values into the equation:

3(2) + 5(-3) = 7 - 16i
6 - 15 = 7 - 16i
-9 = 7 - 16i

Since -9 does equal 7 - 16i, we can confirm that the answer is indeed option A.

Therefore, the correct answer is A. x = 2, y = -3.