What is 7x+8y= 1/2 ,4x+12y= 29/56 ?

The solution to 7x+8y= 1/2 ,4x+12y= 29/56 is x= 1/28 ,y= 1/32

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7x+8y= 1/2 ,4x+12y= 29/56

7 x + 8 y = \frac{1}{2}, 4 x + 12 y = \frac{29}{56}

x = \frac{1}{28}, y = \frac{1}{32}

Solution steps

[7 x + 8 y = \frac{1}{2} 4 x + 12 y = \frac{29}{56}]

Isolate

x

for

7 x + 8 y = \frac{1}{2} : x = \frac{1 - 16 y}{14}

Substitute

x = \frac{1 - 16 y}{14}

[4 \cdot \frac{1 - 16 y}{14} + 12 y = \frac{29}{56}]

Simplify

[\frac{52 y + 2}{7} = \frac{29}{56}]

Isolate

y

for

\frac{52 y + 2}{7} = \frac{29}{56} : y = \frac{1}{32}

For

x = \frac{1 - 16 y}{14}

Substitute

y = \frac{1}{32}

x = \frac{1 - 16 \cdot \frac{1}{32}}{14}

\frac{1 - 16 \cdot \frac{1}{32}}{14} = \frac{1}{28}

x = \frac{1}{28}

The solutions to the system of equations are:

x = \frac{1}{28}, y = \frac{1}{32}

2 x - y = 20, 2 x + y = 48

49 x - 57 y = 17, 257 x - 49 y = 252

- 7 x + y = - 19, - 2 x + 3 y = - 19

s = + \frac{1}{2}, n = 5, l = 3, m = 0

x + 3 y = 10, 8 x + y = 11

What is 7x+8y= 1/2 ,4x+12y= 29/56 ?
The solution to 7x+8y= 1/2 ,4x+12y= 29/56 is x= 1/28 ,y= 1/32