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

The solution to 2x-3y=-1,3x+5y=5 is x= 10/19 ,y= 13/19

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

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

x = \frac{10}{19}, y = \frac{13}{19}

Solution steps

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

Isolate

x

for

2 x - 3 y = - 1 : x = \frac{- 1 + 3 y}{2}

Substitute

x = \frac{- 1 + 3 y}{2}

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

Simplify

[\frac{- 3 + 19 y}{2} = 5]

Isolate

y

for

\frac{- 3 + 19 y}{2} = 5 : y = \frac{13}{19}

For

x = \frac{- 1 + 3 y}{2}

Substitute

y = \frac{13}{19}

x = \frac{- 1 + 3 \cdot \frac{13}{19}}{2}

\frac{- 1 + 3 \cdot \frac{13}{19}}{2} = \frac{10}{19}

x = \frac{10}{19}

The solutions to the system of equations are:

x = \frac{10}{19}, y = \frac{13}{19}

3 x + y = 4, - 6 x - 2 y = 1

7 x + 4 y = 13, 5 x - 2 y = 19

x + y = 4, x + 2 y = 6

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

y^{2} = 4 x, x = 0

What is 2x-3y=-1,3x+5y=5 ?
The solution to 2x-3y=-1,3x+5y=5 is x= 10/19 ,y= 13/19