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Popular >

3a+12=2b,13+2a=3b

Solution

3 a + 12 = 2 b, 13 + 2 a = 3 b

Solution

a = - 2, b = 3

Solution steps

[3 a + 12 = 2 b 13 + 2 a = 3 b]

Isolate

a

for

3 a + 12 = 2 b : a = \frac{2 b - 12}{3}

Substitute

a = \frac{2 b - 12}{3}

[13 + 2 \cdot \frac{2 b - 12}{3} = 3 b]

Simplify

[13 + \frac{2 ( 2 b - 12 )}{3} = 3 b]

Isolate

b

for

13 + \frac{2 ( 2 b - 12 )}{3} = 3 b : b = 3

For

a = \frac{2 b - 12}{3}

Substitute

b = 3

a = \frac{2 \cdot 3 - 12}{3}

\frac{2 \cdot 3 - 12}{3} = - 2

a = - 2

The solutions to the system of equations are:

a = - 2, b = 3

Popular Examples

3x-6=0,e-5x-10=0

3 x - 6 = 0, e - 5 x - 10 = 0

5x+y=25,3x-4x=-8

5 x + y = 25, 3 x - 4 x = - 8

x - y = 4, 2 x - 2 y = 6

a = - 8, b = - 1, c = 2

3a=44,0c=115a,c=5

3 a = 44, 0 c = 115 a, c = 5

Frequently Asked Questions (FAQ)

What is 3a+12=2b,13+2a=3b ?
The solution to 3a+12=2b,13+2a=3b is a=-2,b=3