What is 2x-3y=1,7x+5y=-1 ?

The solution to 2x-3y=1,7x+5y=-1 is x= 2/31 ,y=-9/31

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2x-3y=1,7x+5y=-1

2 x - 3 y = 1, 7 x + 5 y = - 1

x = \frac{2}{31}, y = - \frac{9}{31}

Solution steps

[2 x - 3 y = 1 7 x + 5 y = - 1]

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{7 + 31 y}{2} = - 1]

Isolate

y

for

\frac{7 + 31 y}{2} = - 1 : y = - \frac{9}{31}

For

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

Substitute

y = - \frac{9}{31}

x = \frac{1 + 3 ( - \frac{9}{31} )}{2}

\frac{1 + 3 ( - \frac{9}{31} )}{2} = \frac{2}{31}

x = \frac{2}{31}

The solutions to the system of equations are:

x = \frac{2}{31}, y = - \frac{9}{31}

2 x - y = 5, x + 3 y = 10

y - \frac{15}{( 4 y )} + 1 = 0, y = 0

4 x + 5 y = 5, - 4 x - 10 y = - 7

y = 0, x = 1, y = 0

x + 5 y = 19, 2 x - y = 5