Find x and y so that the following equation is true.12 + 8i = 15x − 24yi
Question
Find x and y so that the following equation is true.12 + 8i = 15x − 24yi
Solution
To solve for x and y in the equation 12 + 8i = 15x - 24yi, we can equate the real and imaginary parts separately.
For the real parts, we have: 12 = 15x Dividing both sides by 15, we get: x = 12/15 = 0.8
For the imaginary parts, we have: 8 = -24y Dividing both sides by -24, we get: y = 8/-24 = -1/3
So, the solution to the equation is x = 0.8 and y = -1/3.
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