What is 2x+3y-11=4,x-3y+5=0 ?

The solution to 2x+3y-11=4,x-3y+5=0 is x= 10/3 ,y= 25/9

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2x+3y-11=4,x-3y+5=0

2 x + 3 y - 11 = 4, x - 3 y + 5 = 0

x = \frac{10}{3}, y = \frac{25}{9}

Solution steps

[2 x + 3 y - 11 = 4 x - 3 y + 5 = 0]

Isolate

x

for

2 x + 3 y - 11 = 4 : x = \frac{- 3 y + 15}{2}

Substitute

x = \frac{- 3 y + 15}{2}

[\frac{- 3 y + 15}{2} - 3 y + 5 = 0]

Simplify

[\frac{- 9 y + 15}{2} + 5 = 0]

Isolate

y

for

\frac{- 9 y + 15}{2} + 5 = 0 : y = \frac{25}{9}

For

x = \frac{- 3 y + 15}{2}

Substitute

y = \frac{25}{9}

x = \frac{- 3 \cdot \frac{25}{9} + 15}{2}

\frac{- 3 \cdot \frac{25}{9} + 15}{2} = \frac{10}{3}

x = \frac{10}{3}

The solutions to the system of equations are:

x = \frac{10}{3}, y = \frac{25}{9}

4 x - 3 y = 19, 2 x + 3 y = 23

5 x + 3 y = 29, 7 x - 5 y = 13

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

5 x + y = - 9, 7 x + 3 y = - 39

3 x + 4 y = 30, 3 x - y = 15

What is 2x+3y-11=4,x-3y+5=0 ?
The solution to 2x+3y-11=4,x-3y+5=0 is x= 10/3 ,y= 25/9