What is the answer to (2-3i)x+(3-2i)y=14+8i ?

The answer to (2-3i)x+(3-2i)y=14+8i is x=-52/5 ,y= 58/5

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(2-3i)x+(3-2i)y=14+8i

(2 - 3 i) x + (3 - 2 i) y = 14 + 8 i

x = - \frac{52}{5}, y = \frac{58}{5}

Solution steps

(2 - 3 i) x + (3 - 2 i) y = 14 + 8 i

Rewrite

(2 - 3 i) x + (3 - 2 i) y

in standard complex form:

(2 x + 3 y) + (- 3 x - 2 y) i

(2 x + 3 y) + (- 3 x - 2 y) i = 14 + 8 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[2 x + 3 y = 14 - 3 x - 2 y = 8]

[2 x + 3 y = 14 - 3 x - 2 y = 8] : x = - \frac{52}{5}, y = \frac{58}{5}

x = - \frac{52}{5}, y = \frac{58}{5}

y - in y = x^{2} + 1

(a + b + 3) + (8 + b) i = 2 a + (3 a - b) i

(x + 1) + 6 y i = 4 + 24 i

s i \frac{159}{100} = a, b c

6 i - 2 j = a (i - j) + b (i + j)

What is the answer to (2-3i)x+(3-2i)y=14+8i ?
The answer to (2-3i)x+(3-2i)y=14+8i is x=-52/5 ,y= 58/5