What is 12x+8y=14,16x-12y=-8 ?

The solution to 12x+8y=14,16x-12y=-8 is x= 13/34 ,y= 20/17

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12x+8y=14,16x-12y=-8

12 x + 8 y = 14, 16 x - 12 y = - 8

x = \frac{13}{34}, y = \frac{20}{17}

Solution steps

[12 x + 8 y = 14 16 x - 12 y = - 8]

Isolate

x

for

12 x + 8 y = 14 : x = \frac{7 - 4 y}{6}

Substitute

x = \frac{7 - 4 y}{6}

[16 \cdot \frac{7 - 4 y}{6} - 12 y = - 8]

Simplify

[\frac{- 68 y + 56}{3} = - 8]

Isolate

y

for

\frac{- 68 y + 56}{3} = - 8 : y = \frac{20}{17}

For

x = \frac{7 - 4 y}{6}

Substitute

y = \frac{20}{17}

x = \frac{7 - 4 \cdot \frac{20}{17}}{6}

\frac{7 - 4 \cdot \frac{20}{17}}{6} = \frac{13}{34}

x = \frac{13}{34}

The solutions to the system of equations are:

x = \frac{13}{34}, y = \frac{20}{17}

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

3 x - 4 y = 2, 5 x - 3 y = 7

5 x - 3 y = 13, 3 x + 2 y = 23

2 x - y - 3 = 0, x + 2 y - 4 = 0

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

What is 12x+8y=14,16x-12y=-8 ?
The solution to 12x+8y=14,16x-12y=-8 is x= 13/34 ,y= 20/17