What is 3x+y=10,-4x+2y=2 ?

The solution to 3x+y=10,-4x+2y=2 is x= 9/5 ,y= 23/5

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3x+y=10,-4x+2y=2

3 x + y = 10, - 4 x + 2 y = 2

x = \frac{9}{5}, y = \frac{23}{5}

Solution steps

[3 x + y = 10 - 4 x + 2 y = 2]

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{- 40 + 10 y}{3} = 2]

Isolate

y

for

\frac{- 40 + 10 y}{3} = 2 : y = \frac{23}{5}

For

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

Substitute

y = \frac{23}{5}

x = \frac{10 - \frac{23}{5}}{3}

\frac{10 - \frac{23}{5}}{3} = \frac{9}{5}

x = \frac{9}{5}

The solutions to the system of equations are:

x = \frac{9}{5}, y = \frac{23}{5}

2036 x + 14 y = - 28, 108 x - 42 y = 84

x + \frac{y}{3} = 4, x - \frac{y}{4} = 5

z = 4 - i, w (z) = - 6 + 4 i

x + 3 y = 4, 2 x - y = 1

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