What is 2x-5y=1,6-3x+6y=21 ?

The solution to 2x-5y=1,6-3x+6y=21 is x=-27,y=-11

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2x-5y=1,6-3x+6y=21

2 x - 5 y = 1, 6 - 3 x + 6 y = 21

x = - 27, y = - 11

Solution steps

[2 x - 5 y = 1 6 - 3 x + 6 y = 21]

Isolate

x

for

2 x - 5 y = 1 : x = \frac{1 + 5 y}{2}

Substitute

x = \frac{1 + 5 y}{2}

[6 - 3 \cdot \frac{1 + 5 y}{2} + 6 y = 21]

Simplify

[\frac{- 3 - 3 y}{2} + 6 = 21]

Isolate

y

for

\frac{- 3 - 3 y}{2} + 6 = 21 : y = - 11

For

x = \frac{1 + 5 y}{2}

Substitute

y = - 11

x = \frac{1 + 5 ( - 11 )}{2}

\frac{1 + 5 ( - 11 )}{2} = - 27

x = - 27

The solutions to the system of equations are:

x = - 27, y = - 11

3 x - y = 35, 2 x - 3 y = 70

3 x + 2 y = 4, - 9 x - 6 y = 12

r (x) = 100 x - 0.01 x^{2}, f (x) = 5 + 10 x + 0.02

x + y = 220, x = y + 200

- 2 x - 7 y = 30, 7 x + 4 y = 18