Final answer:
The values of x and y that satisfy the equation (3 + yi) + (4 + 3i) = 9 – 4i are x = 3 and y = -7.
Step-by-step explanation:
To find the values of x and y that satisfy the equation (3 + yi) + (4 + 3i) = 9 – 4i, we need to combine like terms and equate the real parts and the imaginary parts of the complex numbers on both sides of the equation. When we add the real parts, 3 and 4, together we get 7. To find the value of y, we equate the imaginary parts, so yi + 3i = -4i. From this, we get y = -7. So the value of x remains unchanged as 3, and the value of y is -7 to satisfy the equation.
The provided additional information appears to be about a different linear equation, y = 9 + 3x, and does not directly relate to the complex number equation we are solving.