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

The solution to x-3y=2,5x+9y=3 is x= 9/8 ,y=-7/24

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

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

x = \frac{9}{8}, y = - \frac{7}{24}

Solution steps

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

Isolate

x

for

x - 3 y = 2 : x = 2 + 3 y

Substitute

x = 2 + 3 y

[5 (2 + 3 y) + 9 y = 3]

Simplify

[10 + 24 y = 3]

Isolate

y

for

10 + 24 y = 3 : y = - \frac{7}{24}

For

x = 2 + 3 y

Substitute

y = - \frac{7}{24}

x = 2 + 3 (- \frac{7}{24})

2 + 3 (- \frac{7}{24}) = \frac{9}{8}

x = \frac{9}{8}

The solutions to the system of equations are:

x = \frac{9}{8}, y = - \frac{7}{24}

2 x + 3 y = 0, - 3 x + 8 y = 50

7 x + 5 y = 2, 7 x = y - 3

3 a - 11 b = 5, 2 a + 4 b = 1

x - y = 4, 2 x - y - 5 = 0

x - 65 x - 2 y = 15, y = 2