What is 2x-y=1,1x+y=10 ?

The solution to 2x-y=1,1x+y=10 is x= 11/3 ,y= 19/3

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2x-y=1,1x+y=10

2 x - y = 1, 1 x + y = 10

x = \frac{11}{3}, y = \frac{19}{3}

Solution steps

[2 x - y = 1 1 \cdot x + y = 10]

Isolate

x

for

2 x - y = 1 : x = \frac{1 + y}{2}

Substitute

x = \frac{1 + y}{2}

[1 \cdot \frac{1 + y}{2} + y = 10]

Simplify

[\frac{1 + 3 y}{2} = 10]

Isolate

y

for

\frac{1 + 3 y}{2} = 10 : y = \frac{19}{3}

For

x = \frac{1 + y}{2}

Substitute

y = \frac{19}{3}

x = \frac{1 + \frac{19}{3}}{2}

\frac{1 + \frac{19}{3}}{2} = \frac{11}{3}

x = \frac{11}{3}

The solutions to the system of equations are:

x = \frac{11}{3}, y = \frac{19}{3}

x - y + z = - 9, 4 x + 2 y - z = 8, - 2 x + 4 y - z = 38

2 x + 3 y = 6, 3 x - 5 \frac{y}{2} = 2

4 x + 5 y = 19, 5 x - 6 y = - 7

3 x^{5} y = 29, 5 x^{5} y = 35

x - y = 7, x + 3 y = 5