What is 7x-2y=-31,4x+y=14 ?

The solution to 7x-2y=-31,4x+y=14 is x=-1/5 ,y= 74/5

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7x-2y=-31,4x+y=14

7 x - 2 y = - 31, 4 x + y = 14

x = - \frac{1}{5}, y = \frac{74}{5}

Solution steps

[7 x - 2 y = - 31 4 x + y = 14]

Isolate

x

for

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

Substitute

x = \frac{- 31 + 2 y}{7}

[4 \cdot \frac{- 31 + 2 y}{7} + y = 14]

Simplify

[\frac{- 124 + 15 y}{7} = 14]

Isolate

y

for

\frac{- 124 + 15 y}{7} = 14 : y = \frac{74}{5}

For

x = \frac{- 31 + 2 y}{7}

Substitute

y = \frac{74}{5}

x = \frac{- 31 + 2 \cdot \frac{74}{5}}{7}

\frac{- 31 + 2 \cdot \frac{74}{5}}{7} = - \frac{1}{5}

x = - \frac{1}{5}

The solutions to the system of equations are:

x = - \frac{1}{5}, y = \frac{74}{5}

2 x + 3 y = 4, x - 5 y = 2

7 (x - 2) = 5, (x + 3) = x

x^{2} - 23 x + k = 0, x = 3

\frac{x}{3} + y - 5 = 0, - \frac{x}{2} + 3 \frac{y}{5} - 7 = 0

11 x + 15 y + 23 = 0, 7 x - 2 y - 20 = 0

What is 7x-2y=-31,4x+y=14 ?
The solution to 7x-2y=-31,4x+y=14 is x=-1/5 ,y= 74/5