What is 5x+8y=1,7-4x+7y=16 ?

The solution to 5x+8y=1,7-4x+7y=16 is x=-65/67 ,y= 49/67

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5x+8y=1,7-4x+7y=16

5 x + 8 y = 1, 7 - 4 x + 7 y = 16

x = - \frac{65}{67}, y = \frac{49}{67}

Solution steps

[5 x + 8 y = 1 7 - 4 x + 7 y = 16]

Isolate

x

for

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

Substitute

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

[7 - 4 \cdot \frac{1 - 8 y}{5} + 7 y = 16]

Simplify

[\frac{- 4 + 67 y}{5} + 7 = 16]

Isolate

y

for

\frac{- 4 + 67 y}{5} + 7 = 16 : y = \frac{49}{67}

For

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

Substitute

y = \frac{49}{67}

x = \frac{1 - 8 \cdot \frac{49}{67}}{5}

\frac{1 - 8 \cdot \frac{49}{67}}{5} = - \frac{65}{67}

x = - \frac{65}{67}

The solutions to the system of equations are:

x = - \frac{65}{67}, y = \frac{49}{67}

47 x + 53 y = 147, 53 x + 47 y = 53

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

x + y = 7, - x + y = 1

x + y = 7, - x + y = 3

x + 5 y = - 21, 5 x + 3 y + 17 = 0, - 2 x + 3 y = 3, 4 x + y + 15 = 0

What is 5x+8y=1,7-4x+7y=16 ?
The solution to 5x+8y=1,7-4x+7y=16 is x=-65/67 ,y= 49/67