What is 2x+y=5,0.3x+2y=7 ?

The solution to 2x+y=5,0.3x+2y=7 is x=0.81081…,y= 125/37

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2x+y=5,0.3x+2y=7

2 x + y = 5, 0.3 x + 2 y = 7

x = 0.81081 \dots, y = \frac{125}{37}

Solution steps

[2 x + y = 5 0.3 x + 2 y = 7]

Isolate

x

for

2 x + y = 5 : x = \frac{5 - y}{2}

Substitute

x = \frac{5 - y}{2}

[0.3 \cdot \frac{5 - y}{2} + 2 y = 7]

Simplify

[0.75 + 1.85 y = 7]

Isolate

y

for

0.75 + 1.85 y = 7 : y = \frac{125}{37}

For

x = \frac{5 - y}{2}

Substitute

y = \frac{125}{37}

x = \frac{5 - \frac{125}{37}}{2}

\frac{5 - \frac{125}{37}}{2} = 0.81081 \dots

x = 0.81081 \dots

The solutions to the system of equations are:

x = 0.81081 \dots, y = \frac{125}{37}

a = 570, a = 7, c = 8

2 x + y = 2, 2 y - x = 7

10 y + 7 x = 2, 9 - 5 y - 9 x = 2

3 x + 2 y = 18, 13 x - 14 y + 58 = 0

4 x + 5 y = 40, - x = 2 y - 3

What is 2x+y=5,0.3x+2y=7 ?
The solution to 2x+y=5,0.3x+2y=7 is x=0.81081…,y= 125/37