What is the answer to i 1/16 x+6y=7 ?

The answer to i 1/16 x+6y=7 is x=0,y= 7/6

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i 1/16 x+6y=7

i \frac{1}{16} x + 6 y = 7

x = 0, y = \frac{7}{6}

Solution steps

i \frac{1}{16} x + 6 y = 7

Rewrite

i \frac{1}{16} x + 6 y

in standard complex form:

6 y + \frac{x}{16} i

6 y + \frac{x}{16} i = 7

Rewrite

7

in standard complex form:

7 + 0 i

6 y + \frac{x}{16} i = 7 + 0 i

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

[6 y = 7 \frac{x}{16} = 0]

[6 y = 7 \frac{x}{16} = 0] : x = 0, y = \frac{7}{6}

x = 0, y = \frac{7}{6}

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