What is 2x+y=1,5x-y=12 ?

The solution to 2x+y=1,5x-y=12 is x= 13/7 ,y=-19/7

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

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

x = \frac{13}{7}, y = - \frac{19}{7}

Solution steps

[2 x + y = 1 5 x - y = 12]

Isolate

x

for

2 x + y = 1 : x = \frac{1 - y}{2}

Substitute

x = \frac{1 - y}{2}

[5 \cdot \frac{1 - y}{2} - y = 12]

Simplify

[\frac{5 - 7 y}{2} = 12]

Isolate

y

for

\frac{5 - 7 y}{2} = 12 : y = - \frac{19}{7}

For

x = \frac{1 - y}{2}

Substitute

y = - \frac{19}{7}

x = \frac{1 - ( - \frac{19}{7} )}{2}

\frac{1 - ( - \frac{19}{7} )}{2} = \frac{13}{7}

x = \frac{13}{7}

The solutions to the system of equations are:

x = \frac{13}{7}, y = - \frac{19}{7}

3 x + 3 y = 6, 3 x + 2 y = 4

a + 2 b + 3 c = 0, a + b = 0, b + 3 c = 0

3 x + 2 y = 6, 3 x - y = 0

x + y = 0, 2 x - y = 9

2 x - y + 2 z = - 4, 6 x - 3 y + 6 z = - 12, - 4 x + 2 y - 4 z = 8