What is 3x+y=2,4x-2y=5 ?

The solution to 3x+y=2,4x-2y=5 is x= 9/10 ,y=-7/10

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

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

x = \frac{9}{10}, y = - \frac{7}{10}

Solution steps

[3 x + y = 2 4 x - 2 y = 5]

Isolate

x

for

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

Substitute

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

[4 \cdot \frac{2 - y}{3} - 2 y = 5]

Simplify

[\frac{8 - 10 y}{3} = 5]

Isolate

y

for

\frac{8 - 10 y}{3} = 5 : y = - \frac{7}{10}

For

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

Substitute

y = - \frac{7}{10}

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

\frac{2 - ( - \frac{7}{10} )}{3} = \frac{9}{10}

x = \frac{9}{10}

The solutions to the system of equations are:

x = \frac{9}{10}, y = - \frac{7}{10}

5 x + 4 y = 1, 2 - 5 x + 4 y = 12

3 x + 2 y = 7, 6 x + 5 y = 21

2 x + 3 y + 2 z = 7, 0.83 x + 2 y = 5, 0.22 y + 3 z = 6.1

2 \cdot 2 x - 3 \cdot 1 + 3 \cdot 2 = 0, 0.4 x + y - 88 = 0

x - 2 y = 17, 7 x - 6 y = 47