What is a+b=20, 3/2 a+b=390 ?

The solution to a+b=20, 3/2 a+b=390 is a=740,b=-720

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a+b=20, 3/2 a+b=390

a + b = 20, \frac{3}{2} a + b = 390

a = 740, b = - 720

Solution steps

[a + b = 20 \frac{3}{2} a + b = 390]

Isolate

a

for

a + b = 20 : a = 20 - b

Substitute

a = 20 - b

[\frac{3}{2} (20 - b) + b = 390]

Simplify

[\frac{60 - b}{2} = 390]

Isolate

b

for

\frac{60 - b}{2} = 390 : b = - 720

For

a = 20 - b

Substitute

b = - 720

a = 20 - (- 720)

Simplify

a = 740

The solutions to the system of equations are:

a = 740, b = - 720

2 x - y = 5, 2 x + y = 3

6 a + 2 b = 3, 7 a + 7 b = 1

2 x + y = 12, 3 x - 5 y = 18

x + y - z = 1, z + x - y = 3, z - x + y = 7

4 x - 3 y = 9, 3 x - 4 y = 5

What is a+b=20, 3/2 a+b=390 ?
The solution to a+b=20, 3/2 a+b=390 is a=740,b=-720