What is 3x+5y=2,9x-y=-1 ?

The solution to 3x+5y=2,9x-y=-1 is x=-1/16 ,y= 7/16

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3x+5y=2,9x-y=-1

3 x + 5 y = 2, 9 x - y = - 1

x = - \frac{1}{16}, y = \frac{7}{16}

Solution steps

[3 x + 5 y = 2 9 x - y = - 1]

Isolate

x

for

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

Substitute

x = \frac{2 - 5 y}{3}

[9 \cdot \frac{2 - 5 y}{3} - y = - 1]

Simplify

[- 16 y + 6 = - 1]

Isolate

y

for

- 16 y + 6 = - 1 : y = \frac{7}{16}

For

x = \frac{2 - 5 y}{3}

Substitute

y = \frac{7}{16}

x = \frac{2 - 5 \cdot \frac{7}{16}}{3}

\frac{2 - 5 \cdot \frac{7}{16}}{3} = - \frac{1}{16}

x = - \frac{1}{16}

The solutions to the system of equations are:

x = - \frac{1}{16}, y = \frac{7}{16}

2 x + 6 y = 22, 5 x - 2 y = 4

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

\frac{12}{x} + \frac{5}{y} = - \frac{13}{2}, \frac{18}{x} + \frac{7}{y} = - \frac{19}{2}

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

- 10 x - 5 y = 2, 1 x - 7 y = 28