What is 3a-11b=5,2a+4b=1 ?

The solution to 3a-11b=5,2a+4b=1 is a= 31/34 ,b=-7/34

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3a-11b=5,2a+4b=1

3 a - 11 b = 5, 2 a + 4 b = 1

a = \frac{31}{34}, b = - \frac{7}{34}

Solution steps

[3 a - 11 b = 5 2 a + 4 b = 1]

Isolate

a

for

3 a - 11 b = 5 : a = \frac{5 + 11 b}{3}

Substitute

a = \frac{5 + 11 b}{3}

[2 \cdot \frac{5 + 11 b}{3} + 4 b = 1]

Simplify

[\frac{10 + 34 b}{3} = 1]

Isolate

b

for

\frac{10 + 34 b}{3} = 1 : b = - \frac{7}{34}

For

a = \frac{5 + 11 b}{3}

Substitute

b = - \frac{7}{34}

a = \frac{5 + 11 ( - \frac{7}{34} )}{3}

\frac{5 + 11 ( - \frac{7}{34} )}{3} = \frac{31}{34}

a = \frac{31}{34}

The solutions to the system of equations are:

a = \frac{31}{34}, b = - \frac{7}{34}

x - y = 4, 2 x - y - 5 = 0

x - 65 x - 2 y = 15, y = 2

x = 2 y + 8, 5 x - 22 + 2 y = 0

4 x - 3 y = - 10, 6 x + 9 y = 12

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

What is 3a-11b=5,2a+4b=1 ?
The solution to 3a-11b=5,2a+4b=1 is a= 31/34 ,b=-7/34