kukumaluboy said:Homework Statement
1) 2w+iz = 3; 2) (3-i)w - z = 1 +3i
2wi - z = 3i; 3w - iw - z = 1 + 3i
Substract (2) from (1):
2wi - z - (3w-iw-z) = 3i - (1+3i)
2wi -3w +iw = -1
3iw - 3w = -1
3w(i-1) = -1
3w = -1/(i-1) = -0.5i - 0.5
w = -i/6 - 1/6
But the answer is i/6 + 1/6 for W
Complex numbers are numbers that have both a real and imaginary component. They are written in the form a + bi, where a is the real part and bi is the imaginary part.
Simultaneous equations are a set of equations that contain multiple variables and must be solved at the same time. They can be linear or nonlinear and have multiple solutions.
Complex numbers are used in simultaneous equations when the equations involve imaginary numbers. They can help to find solutions that may not be possible with only real numbers.
Real solutions in simultaneous equations are values that make both equations true when substituted into the variables. Imaginary solutions involve complex numbers and may not be able to be graphed on a traditional x-y axis.
Complex numbers and simultaneous equations are used in many areas of science and engineering, such as electrical engineering, quantum mechanics, and signal processing. They can also be used to model real-life situations involving multiple variables and unknowns.