What is 6x-3y=-10,3x+5y-8=0 ?

The solution to 6x-3y=-10,3x+5y-8=0 is x=-2/3 ,y=2

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6x-3y=-10,3x+5y-8=0

6 x - 3 y = - 10, 3 x + 5 y - 8 = 0

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

Solution steps

[6 x - 3 y = - 10 3 x + 5 y - 8 = 0]

Isolate

x

for

6 x - 3 y = - 10 : x = \frac{- 10 + 3 y}{6}

Substitute

x = \frac{- 10 + 3 y}{6}

[3 \cdot \frac{- 10 + 3 y}{6} + 5 y - 8 = 0]

Simplify

[\frac{- 10 + 13 y}{2} - 8 = 0]

Isolate

y

for

\frac{- 10 + 13 y}{2} - 8 = 0 : y = 2

For

x = \frac{- 10 + 3 y}{6}

Substitute

y = 2

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

\frac{- 10 + 3 \cdot 2}{6} = - \frac{2}{3}

x = - \frac{2}{3}

The solutions to the system of equations are:

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

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

7 x + 3 y = 15, 12 y - 5 x = 39

- x + y = 1, - 2 x + 4 y = - 8

a + b = 1, a - b = 16

x + 7 y = 10, 2 x + y = 13

What is 6x-3y=-10,3x+5y-8=0 ?
The solution to 6x-3y=-10,3x+5y-8=0 is x=-2/3 ,y=2