What is 8x-5y=1,2y=3x-13 ?

The solution to 8x-5y=1,2y=3x-13 is x=-63,y=-101

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8x-5y=1,2y=3x-13

8 x - 5 y = 1, 2 y = 3 x - 13

x = - 63, y = - 101

Solution steps

[8 x - 5 y = 1 2 y = 3 x - 13]

Isolate

x

for

8 x - 5 y = 1 : x = \frac{1 + 5 y}{8}

Substitute

x = \frac{1 + 5 y}{8}

[2 y = 3 \cdot \frac{1 + 5 y}{8} - 13]

Simplify

[2 y = \frac{3 ( 1 + 5 y )}{8} - 13]

Isolate

y

for

2 y = \frac{3 ( 1 + 5 y )}{8} - 13 : y = - 101

For

x = \frac{1 + 5 y}{8}

Substitute

y = - 101

x = \frac{1 + 5 ( - 101 )}{8}

\frac{1 + 5 ( - 101 )}{8} = - 63

x = - 63

The solutions to the system of equations are:

x = - 63, y = - 101

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

x + y = 1, 2 x + 4 y = 2

2 x + 3 y = 13, x + 2 y = 4

y = e^{x}, y = 0

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