What is -8x-5y=-1,3y+4x=1 ?

The solution to -8x-5y=-1,3y+4x=1 is x=-1/2 ,y=1

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-8x-5y=-1,3y+4x=1

- 8 x - 5 y = - 1, 3 y + 4 x = 1

x = - \frac{1}{2}, y = 1

Solution steps

[- 8 x - 5 y = - 1 3 y + 4 x = 1]

Isolate

x

for

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

Substitute

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

[3 y + 4 (- \frac{- 1 + 5 y}{8}) = 1]

Simplify

[\frac{1 + y}{2} = 1]

Isolate

y

for

\frac{1 + y}{2} = 1 : y = 1

For

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

Substitute

y = 1

x = - \frac{- 1 + 5 \cdot 1}{8}

- \frac{- 1 + 5 \cdot 1}{8} = - \frac{1}{2}

x = - \frac{1}{2}

The solutions to the system of equations are:

x = - \frac{1}{2}, y = 1

- 3 x + 4 y = 9, 5 x + 5 y = 57

15 b + 10 p = 18, 0 b + p = 14

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

x = 2 \frac{a}{t}, y = \frac{a}{t ^{2}}

6 x - 3 y = 0, x + y = - 6