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

The solution to a+2b=2,5a-b=4 is a= 10/11 ,b= 6/11

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a+2b=2,5a-b=4

a + 2 b = 2, 5 a - b = 4

a = \frac{10}{11}, b = \frac{6}{11}

Solution steps

[a + 2 b = 2 5 a - b = 4]

Isolate

a

for

a + 2 b = 2 : a = 2 - 2 b

Substitute

a = 2 - 2 b

[5 (2 - 2 b) - b = 4]

Simplify

[10 - 11 b = 4]

Isolate

b

for

10 - 11 b = 4 : b = \frac{6}{11}

For

a = 2 - 2 b

Substitute

b = \frac{6}{11}

a = 2 - 2 \cdot \frac{6}{11}

2 - 2 \cdot \frac{6}{11} = \frac{10}{11}

a = \frac{10}{11}

The solutions to the system of equations are:

a = \frac{10}{11}, b = \frac{6}{11}

2 x - y = 1, x + y = 0

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

yy = ln (x), y = 1

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

6 x - 3 y = 20, 4 x + 3 y = 40