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Popular >

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

Solution

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

Solution

x = \frac{17}{7}, y = \frac{1}{7}

Solution steps

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

Isolate

x

for

2 x + y = 5 : x = \frac{5 - y}{2}

Substitute

x = \frac{5 - y}{2}

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

Simplify

[\frac{5 - 7 y}{2} = 2]

Isolate

y

for

\frac{5 - 7 y}{2} = 2 : y = \frac{1}{7}

For

x = \frac{5 - y}{2}

Substitute

y = \frac{1}{7}

x = \frac{5 - \frac{1}{7}}{2}

\frac{5 - \frac{1}{7}}{2} = \frac{17}{7}

x = \frac{17}{7}

The solutions to the system of equations are:

x = \frac{17}{7}, y = \frac{1}{7}

Popular Examples

5x+3y=11,4x+2y=8

5 x + 3 y = 11, 4 x + 2 y = 8

y^z=21,6^x=3,6^y=7

y^{z} = 21, 6^{x} = 3, 6^{y} = 7

x+y=50,10x+20y=8000

x + y = 50, 10 x + 20 y = 8000

1042x+347y=21,652x+551y=-2

1042 x + 347 y = 21, 652 x + 551 y = - 2

x/2+y/3 =7, x/3+y/2 =8

\frac{x}{2} + \frac{y}{3} = 7, \frac{x}{3} + \frac{y}{2} = 8

Frequently Asked Questions (FAQ)

What is 2x+y=5,x-3y=2 ?
The solution to 2x+y=5,x-3y=2 is x= 17/7 ,y= 1/7