What is -4x+6y=21,5x-6y=9 ?

The solution to -4x+6y=21,5x-6y=9 is x=30,y= 47/2

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-4x+6y=21,5x-6y=9

- 4 x + 6 y = 21, 5 x - 6 y = 9

x = 30, y = \frac{47}{2}

Solution steps

[- 4 x + 6 y = 21 5 x - 6 y = 9]

Isolate

x

for

- 4 x + 6 y = 21 : x = - \frac{21 - 6 y}{4}

Substitute

x = - \frac{21 - 6 y}{4}

[5 (- \frac{21 - 6 y}{4}) - 6 y = 9]

Simplify

[\frac{- 105 + 6 y}{4} = 9]

Isolate

y

for

\frac{- 105 + 6 y}{4} = 9 : y = \frac{47}{2}

For

x = - \frac{21 - 6 y}{4}

Substitute

y = \frac{47}{2}

x = - \frac{21 - 6 \cdot \frac{47}{2}}{4}

- \frac{21 - 6 \cdot \frac{47}{2}}{4} = 30

x = 30

The solutions to the system of equations are:

x = 30, y = \frac{47}{2}

x - y = - 1, 2 x - y = 1

0.19 + 0.18 + 3.27 y = 6, x = 0

5 x + 3 y = 71, 7 x - y = 7

2 x + 3 y = - 13, - 5 x - 2 y = 16

- 5 x + 9 y = - 13, 3 x - 7 y = 11