What is 2x+6y=3,2-2x+4y=18 ?

The solution to 2x+6y=3,2-2x+4y=18 is x=-21/5 ,y= 19/10

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2x+6y=3,2-2x+4y=18

2 x + 6 y = 3, 2 - 2 x + 4 y = 18

x = - \frac{21}{5}, y = \frac{19}{10}

Solution steps

[2 x + 6 y = 3 2 - 2 x + 4 y = 18]

Isolate

x

for

2 x + 6 y = 3 : x = \frac{3 - 6 y}{2}

Substitute

x = \frac{3 - 6 y}{2}

[2 - 2 \cdot \frac{3 - 6 y}{2} + 4 y = 18]

Simplify

[10 y - 1 = 18]

Isolate

y

for

10 y - 1 = 18 : y = \frac{19}{10}

For

x = \frac{3 - 6 y}{2}

Substitute

y = \frac{19}{10}

x = \frac{3 - 6 \cdot \frac{19}{10}}{2}

\frac{3 - 6 \cdot \frac{19}{10}}{2} = - \frac{21}{5}

x = - \frac{21}{5}

The solutions to the system of equations are:

x = - \frac{21}{5}, y = \frac{19}{10}

a + b = 2, a + c = 3, b + c = 4

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

x + 4 y = - 4, 3 y - 5 x = - 1

7 x - 6 y = 12, 5 x + 3 y = 11

x + y = 4, 5 x - y = 21

What is 2x+6y=3,2-2x+4y=18 ?
The solution to 2x+6y=3,2-2x+4y=18 is x=-21/5 ,y= 19/10