What is 12x-13y=9,-4x+17y=35 ?

The solution to 12x-13y=9,-4x+17y=35 is x=4,y=3

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12x-13y=9,-4x+17y=35

12 x - 13 y = 9, - 4 x + 17 y = 35

x = 4, y = 3

Solution steps

[12 x - 13 y = 9 - 4 x + 17 y = 35]

Isolate

x

for

12 x - 13 y = 9 : x = \frac{9 + 13 y}{12}

Substitute

x = \frac{9 + 13 y}{12}

[- 4 \cdot \frac{9 + 13 y}{12} + 17 y = 35]

Simplify

[\frac{- 9 + 38 y}{3} = 35]

Isolate

y

for

\frac{- 9 + 38 y}{3} = 35 : y = 3

For

x = \frac{9 + 13 y}{12}

Substitute

y = 3

x = \frac{9 + 13 \cdot 3}{12}

\frac{9 + 13 \cdot 3}{12} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 3

2 x + 3 y = 13, 5 x + 2 y = 16

3 x + 5 y = - 9, 4 x + 2 y = 2

x + \frac{2}{x} + k = 0, x = a

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

2 x + \frac{3}{2} y = 1, 4 x + \frac{1}{3} y = 3