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Popular >

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

Solution

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

Solution

x = \frac{16}{5}, y = \frac{9}{5}

Solution steps

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

Isolate

x

for

x + y = 5 : x = 5 - y

Substitute

x = 5 - y

[2 (5 - y) - 3 y = 1]

Simplify

[10 - 5 y = 1]

Isolate

y

for

10 - 5 y = 1 : y = \frac{9}{5}

For

x = 5 - y

Substitute

y = \frac{9}{5}

x = 5 - \frac{9}{5}

5 - \frac{9}{5} = \frac{16}{5}

x = \frac{16}{5}

The solutions to the system of equations are:

x = \frac{16}{5}, y = \frac{9}{5}

Popular Examples

12x-7y=15,3x+6y=4

12 x - 7 y = 15, 3 x + 6 y = 4

2 x - y = 6, 2 x + y = 10

1 b = - 3, 2 c = 256

2x-3y=7,4x-6y=12

2 x - 3 y = 7, 4 x - 6 y = 12

-3x-6y=-27,3x-y=20

- 3 x - 6 y = - 27, 3 x - y = 20

Frequently Asked Questions (FAQ)

What is x+y=5,2x-3y=1 ?
The solution to x+y=5,2x-3y=1 is x= 16/5 ,y= 9/5