What is 1.1x+6y=7,2x+y=3 ?

The solution to 1.1x+6y=7,2x+y=3 is x=1.00917…,y= 107/109

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1.1x+6y=7,2x+y=3

1.1 x + 6 y = 7, 2 x + y = 3

x = 1.00917 \dots, y = \frac{107}{109}

Solution steps

[1.1 x + 6 y = 7 2 x + y = 3]

Isolate

x

for

1.1 x + 6 y = 7 : x = \frac{70 - 60 y}{11}

Substitute

x = \frac{70 - 60 y}{11}

[2 \cdot \frac{70 - 60 y}{11} + y = 3]

Simplify

[\frac{140 - 109 y}{11} = 3]

Isolate

y

for

\frac{140 - 109 y}{11} = 3 : y = \frac{107}{109}

For

x = \frac{70 - 60 y}{11}

Substitute

y = \frac{107}{109}

x = \frac{70 - 60 \cdot \frac{107}{109}}{11}

\frac{70 - 60 \cdot \frac{107}{109}}{11} = 1.00917 \dots

x = 1.00917 \dots

The solutions to the system of equations are:

x = 1.00917 \dots, y = \frac{107}{109}

5 x + 2 y = 30, 5 x - y = 15

5 x + y = 10, 5 x - 2 y = 10

y = 2 + 4 - x, y = - x

3 x + 2 y = 10, - 2 x - 3 y = - 5

x + 2 y = 4, 2 x + 3 y = 9

What is 1.1x+6y=7,2x+y=3 ?
The solution to 1.1x+6y=7,2x+y=3 is x=1.00917…,y= 107/109