What is 5x-9y=2,x+4y=1 ?

The solution to 5x-9y=2,x+4y=1 is x= 17/29 ,y= 3/29

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5x-9y=2,x+4y=1

5 x - 9 y = 2, x + 4 y = 1

x = \frac{17}{29}, y = \frac{3}{29}

Solution steps

[5 x - 9 y = 2 x + 4 y = 1]

Isolate

x

for

5 x - 9 y = 2 : x = \frac{2 + 9 y}{5}

Substitute

x = \frac{2 + 9 y}{5}

[\frac{2 + 9 y}{5} + 4 y = 1]

Simplify

[\frac{2 + 29 y}{5} = 1]

Isolate

y

for

\frac{2 + 29 y}{5} = 1 : y = \frac{3}{29}

For

x = \frac{2 + 9 y}{5}

Substitute

y = \frac{3}{29}

x = \frac{2 + 9 \cdot \frac{3}{29}}{5}

\frac{2 + 9 \cdot \frac{3}{29}}{5} = \frac{17}{29}

x = \frac{17}{29}

The solutions to the system of equations are:

x = \frac{17}{29}, y = \frac{3}{29}

5 x + y = 9, x - 2 y = 4

y + 2 x - 19 = 0, 2 x - 3 y + 3 = 0

2 x - y = 3, 3 x + 2 y = 8

2 x + y = 8, x - 4 y = - 5

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