What is 10x+3y=2,3-2x+5y=1 ?

The solution to 10x+3y=2,3-2x+5y=1 is x= 2/7 ,y=-2/7

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10x+3y=2,3-2x+5y=1

10 x + 3 y = 2, 3 - 2 x + 5 y = 1

x = \frac{2}{7}, y = - \frac{2}{7}

Solution steps

[10 x + 3 y = 2 3 - 2 x + 5 y = 1]

Isolate

x

for

10 x + 3 y = 2 : x = \frac{2 - 3 y}{10}

Substitute

x = \frac{2 - 3 y}{10}

[3 - 2 \cdot \frac{2 - 3 y}{10} + 5 y = 1]

Simplify

[\frac{- 2 + 28 y}{5} + 3 = 1]

Isolate

y

for

\frac{- 2 + 28 y}{5} + 3 = 1 : y = - \frac{2}{7}

For

x = \frac{2 - 3 y}{10}

Substitute

y = - \frac{2}{7}

x = \frac{2 - 3 ( - \frac{2}{7} )}{10}

\frac{2 - 3 ( - \frac{2}{7} )}{10} = \frac{2}{7}

x = \frac{2}{7}

The solutions to the system of equations are:

x = \frac{2}{7}, y = - \frac{2}{7}

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

5 x + 3 y = 9, 2 x + 3 y = 12

5 x - 3 y = 11, 4 x + y = 2

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

2 x + 3 y = 8, 5 x - 2 y = 1

What is 10x+3y=2,3-2x+5y=1 ?
The solution to 10x+3y=2,3-2x+5y=1 is x= 2/7 ,y=-2/7