What is a+b=30,a-b=20 a/b ?

The solution to a+b=30,a-b=20 a/b is

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a+b=30,a-b=20 a/b

a + b = 30, a - b = 20 \frac{a}{b}

(a = \frac{35}{2} + i \frac{5 23}{2}, a = \frac{35}{2} - i \frac{5 23}{2}, b = \frac{25}{2} - i \frac{5 23}{2} b = \frac{25}{2} + i \frac{5 23}{2})

Solution steps

[a + b = 30 a - b = 20 \cdot \frac{a}{b}]

Isolate

a

for

a + b = 30 : a = 30 - b

Plug the solutions

a = 30 - b

into

a - b = 20 \frac{a}{b}

For

a - b = 20 \frac{a}{b}

, subsitute

a

with

30 - b : b = \frac{25}{2} - i \frac{5 23}{2}, b = \frac{25}{2} + i \frac{5 23}{2}

Plug the solutions

b = \frac{25}{2} - i \frac{5 23}{2}, b = \frac{25}{2} + i \frac{5 23}{2}

into

a + b = 30

For

a + b = 30

, subsitute

b

with

\frac{25}{2} - i \frac{5 23}{2} : a = \frac{35}{2} + i \frac{5 23}{2}

For

a + b = 30

, subsitute

b

with

\frac{25}{2} + i \frac{5 23}{2} : a = \frac{35}{2} - i \frac{5 23}{2}

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

a + b = 30, a - b = 20 \frac{a}{b}

are

(a = \frac{35}{2} + i \frac{5 23}{2}, a = \frac{35}{2} - i \frac{5 23}{2}, b = \frac{25}{2} - i \frac{5 23}{2} b = \frac{25}{2} + i \frac{5 23}{2})

f (x) = 2, x^{2} - 7 x + 3 = 12

x + y - z = 5, - x + y + z = 1

x + y = 7, x + z = 4 x + y + z

x + y = 10, x y = 16

4 y^{2} - 34 y + 289 = 0, x^{2} = 6