What is 7x+6y=38,3x+5y=1750 ?

The solution to 7x+6y=38,3x+5y=1750 is x=-10310/17 ,y= 12136/17

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7x+6y=38,3x+5y=1750

7 x + 6 y = 38, 3 x + 5 y = 1750

x = - \frac{10310}{17}, y = \frac{12136}{17}

Solution steps

[7 x + 6 y = 38 3 x + 5 y = 1750]

Isolate

x

for

7 x + 6 y = 38 : x = \frac{38 - 6 y}{7}

Substitute

x = \frac{38 - 6 y}{7}

[3 \cdot \frac{38 - 6 y}{7} + 5 y = 1750]

Simplify

[\frac{114 + 17 y}{7} = 1750]

Isolate

y

for

\frac{114 + 17 y}{7} = 1750 : y = \frac{12136}{17}

For

x = \frac{38 - 6 y}{7}

Substitute

y = \frac{12136}{17}

x = \frac{38 - 6 \cdot \frac{12136}{17}}{7}

\frac{38 - 6 \cdot \frac{12136}{17}}{7} = - \frac{10310}{17}

x = - \frac{10310}{17}

The solutions to the system of equations are:

x = - \frac{10310}{17}, y = \frac{12136}{17}

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

2 x + 3 y = 0, 3 x + 5 y = 2

2 x - 5 y + 4 = 2, x + y - 8 = 0

5 x - 2 y = - 2, - 3 x + 7 y = 22

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

What is 7x+6y=38,3x+5y=1750 ?
The solution to 7x+6y=38,3x+5y=1750 is x=-10310/17 ,y= 12136/17