What is 8x-15y=-30,2x+3y=15 ?

The solution to 8x-15y=-30,2x+3y=15 is x= 5/2 ,y= 10/3

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8x-15y=-30,2x+3y=15

8 x - 15 y = - 30, 2 x + 3 y = 15

x = \frac{5}{2}, y = \frac{10}{3}

Solution steps

[8 x - 15 y = - 30 2 x + 3 y = 15]

Isolate

x

for

8 x - 15 y = - 30 : x = \frac{- 30 + 15 y}{8}

Substitute

x = \frac{- 30 + 15 y}{8}

[2 \cdot \frac{- 30 + 15 y}{8} + 3 y = 15]

Simplify

[\frac{- 30 + 27 y}{4} = 15]

Isolate

y

for

\frac{- 30 + 27 y}{4} = 15 : y = \frac{10}{3}

For

x = \frac{- 30 + 15 y}{8}

Substitute

y = \frac{10}{3}

x = \frac{- 30 + 15 \cdot \frac{10}{3}}{8}

\frac{- 30 + 15 \cdot \frac{10}{3}}{8} = \frac{5}{2}

x = \frac{5}{2}

The solutions to the system of equations are:

x = \frac{5}{2}, y = \frac{10}{3}

6 x - y = 7, x - y = 1

\frac{16}{x} + y = 8, x - y = 0

4 m + 6 n = 54, 3 m + 2 n = 28

10 x - 9 y = 2, 4 y = x - 2

x = - 25, y = - 18

What is 8x-15y=-30,2x+3y=15 ?
The solution to 8x-15y=-30,2x+3y=15 is x= 5/2 ,y= 10/3