What is 5x-4y=1,9x+2y=8 ?

The solution to 5x-4y=1,9x+2y=8 is x= 17/23 ,y= 31/46

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5x-4y=1,9x+2y=8

5 x - 4 y = 1, 9 x + 2 y = 8

x = \frac{17}{23}, y = \frac{31}{46}

Solution steps

[5 x - 4 y = 1 9 x + 2 y = 8]

Isolate

x

for

5 x - 4 y = 1 : x = \frac{1 + 4 y}{5}

Substitute

x = \frac{1 + 4 y}{5}

[9 \cdot \frac{1 + 4 y}{5} + 2 y = 8]

Simplify

[\frac{9 + 46 y}{5} = 8]

Isolate

y

for

\frac{9 + 46 y}{5} = 8 : y = \frac{31}{46}

For

x = \frac{1 + 4 y}{5}

Substitute

y = \frac{31}{46}

x = \frac{1 + 4 \cdot \frac{31}{46}}{5}

\frac{1 + 4 \cdot \frac{31}{46}}{5} = \frac{17}{23}

x = \frac{17}{23}

The solutions to the system of equations are:

x = \frac{17}{23}, y = \frac{31}{46}

6 x - 4 g (x) = 14, x - g (x) = 2

s = 2 (n + 1), c = 3 n - 4

p (x) = 3, x + 1 x = - \frac{1}{3}

5 x + 6 y = 20, 4 x - 3 y = - 23

x - y = 1, x + y = 9