What is the answer to si x/3+2x=7,x ?

The answer to si x/3+2x=7,x is s=0,x= 7/2

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si x/3+2x=7,x

s i \frac{x}{3} + 2 x = 7, x

s = 0, x = \frac{7}{2}

Solution steps

s i \frac{x}{3} + 2 x = 7

Rewrite

s i \frac{x}{3} + 2 x

in standard complex form:

2 x + \frac{s x}{3} i

2 x + \frac{s x}{3} i = 7

Rewrite

7

in standard complex form:

7 + 0 i

2 x + \frac{s x}{3} i = 7 + 0 i

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

[2 x = 7 \frac{s x}{3} = 0]

[2 x = 7 \frac{s x}{3} = 0] : s = 0, x = \frac{7}{2}

s = 0, x = \frac{7}{2}

z = (- 3 - 2 i) (3 + x i)

\frac{z - 1}{z} = 3 + 4 i

25 - m^{2} = (- 1)^{2} + (mi + 2 i)^{2}

\frac{z - 5 i}{z + 2} = 4 i

3 x + 2 y i - i x + 5 y = 7 + 5 i