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Popular >

5=2a+b,2=3a+b

Solution

5 = 2 a + b, 2 = 3 a + b

Solution

a = - 3, b = 11

Solution steps

[5 = 2 a + b 2 = 3 a + b]

Isolate

a

for

5 = 2 a + b : a = \frac{5 - b}{2}

Substitute

a = \frac{5 - b}{2}

[2 = 3 \cdot \frac{5 - b}{2} + b]

Simplify

[2 = \frac{15 - b}{2}]

Isolate

b

for

2 = \frac{15 - b}{2} : b = 11

For

a = \frac{5 - b}{2}

Substitute

b = 11

a = \frac{5 - 11}{2}

\frac{5 - 11}{2} = - 3

a = - 3

The solutions to the system of equations are:

a = - 3, b = 11

Popular Examples

8x+5y=-28,9x+6y=-33

8 x + 5 y = - 28, 9 x + 6 y = - 33

2 x - y = 0, x - 2 y = 6

3x+2y=-25,-2x-y=10

3 x + 2 y = - 25, - 2 x - y = 10

x = 5, y = 2

x + y = 7, x - y = 1

Frequently Asked Questions (FAQ)

What is 5=2a+b,2=3a+b ?
The solution to 5=2a+b,2=3a+b is a=-3,b=11