What is x/9+y/2 =3,0.6x-2y=2 ?

The solution to x/9+y/2 =3,0.6x-2y=2 is x=13.40425…,y= 142/47

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x/9+y/2 =3,0.6x-2y=2

\frac{x}{9} + \frac{y}{2} = 3, 0.6 x - 2 y = 2

x = 13.40425 \dots, y = \frac{142}{47}

Solution steps

[\frac{x}{9} + \frac{y}{2} = 3 0.6 x - 2 y = 2]

Isolate

x

for

\frac{x}{9} + \frac{y}{2} = 3 : x = 27 - \frac{9 y}{2}

Substitute

x = 27 - \frac{9 y}{2}

[0.6 (27 - \frac{9 y}{2}) - 2 y = 2]

Simplify

[16.2 - 4.7 y = 2]

Isolate

y

for

16.2 - 4.7 y = 2 : y = \frac{142}{47}

For

x = 27 - \frac{9 y}{2}

Substitute

y = \frac{142}{47}

x = 27 - \frac{9 \cdot \frac{142}{47}}{2}

27 - \frac{9 \cdot \frac{142}{47}}{2} = 13.40425 \dots

x = 13.40425 \dots

The solutions to the system of equations are:

x = 13.40425 \dots, y = \frac{142}{47}

f (x) = 2, x - e = 0

\frac{3}{x} + 1 - \frac{1}{y} + 1 = 7, \frac{1}{x} + 1 - \frac{1}{y} + 1 = 13

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

2 x + 4 y = 2, - 3 x + y = 11

1 (- 3 + 5 \frac{y}{6}) - 9 y = - 4, x = 1

What is x/9+y/2 =3,0.6x-2y=2 ?
The solution to x/9+y/2 =3,0.6x-2y=2 is x=13.40425…,y= 142/47