What is 2x+y=1,3x+3y=14 ?

The solution to 2x+y=1,3x+3y=14 is x=-11/3 ,y= 25/3

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2x+y=1,3x+3y=14

2 x + y = 1, 3 x + 3 y = 14

x = - \frac{11}{3}, y = \frac{25}{3}

Solution steps

[2 x + y = 1 3 x + 3 y = 14]

Isolate

x

for

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

Substitute

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

[3 \cdot \frac{1 - y}{2} + 3 y = 14]

Simplify

[\frac{3 + 3 y}{2} = 14]

Isolate

y

for

\frac{3 + 3 y}{2} = 14 : y = \frac{25}{3}

For

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

Substitute

y = \frac{25}{3}

x = \frac{1 - \frac{25}{3}}{2}

\frac{1 - \frac{25}{3}}{2} = - \frac{11}{3}

x = - \frac{11}{3}

The solutions to the system of equations are:

x = - \frac{11}{3}, y = \frac{25}{3}

x + \frac{2}{x} = 3, x = 0

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

2 x - 4 y - 2 z = - 14, 6 x + 3 y + 3 z = 3, x - 5 y + 8 z = 13

x + y = 7, x + 2 y = 5

m = 3 p - 4, 2 m + p = 12