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

The solution to x-3y=2,5x+2y=3 is x= 13/17 ,y=-7/17

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

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

x = \frac{13}{17}, y = - \frac{7}{17}

Solution steps

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

Isolate

x

for

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

Substitute

x = 2 + 3 y

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

Simplify

[10 + 17 y = 3]

Isolate

y

for

10 + 17 y = 3 : y = - \frac{7}{17}

For

x = 2 + 3 y

Substitute

y = - \frac{7}{17}

x = 2 + 3 (- \frac{7}{17})

2 + 3 (- \frac{7}{17}) = \frac{13}{17}

x = \frac{13}{17}

The solutions to the system of equations are:

x = \frac{13}{17}, y = - \frac{7}{17}

2 x + 3 y = 5, 4 x + 6 y - 10 = 0

\frac{a}{b} = \frac{9}{11}, a + b = 800

x + y = 10, x - y = - 2

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

7 x + 2 y = 24, 8 x + 2 y = 30