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Popular >

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

Solution

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

Solution

x = \frac{26}{5}, y = - \frac{14}{5}

Solution steps

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

Isolate

x

for

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

Substitute

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

[\frac{2 - 3 y}{2} - y = 8]

Simplify

[\frac{2 - 5 y}{2} = 8]

Isolate

y

for

\frac{2 - 5 y}{2} = 8 : y = - \frac{14}{5}

For

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

Substitute

y = - \frac{14}{5}

x = \frac{2 - 3 ( - \frac{14}{5} )}{2}

\frac{2 - 3 ( - \frac{14}{5} )}{2} = \frac{26}{5}

x = \frac{26}{5}

The solutions to the system of equations are:

x = \frac{26}{5}, y = - \frac{14}{5}

Popular Examples

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

x-y=-2,8x-3y=24

x - y = - 2, 8 x - 3 y = 24

x+y=7,25x+18y=147

x + y = 7, 25 x + 18 y = 147

5/y-2/x =1,(3/836)/x-(24)/y =1

\frac{5}{y} - \frac{2}{x} = 1, \frac{\frac{3}{836}}{x} - \frac{24}{y} = 1

7(y+3)-2(x+3)=14,4(y-2)+3(x-3)=2

7 (y + 3) - 2 (x + 3) = 14, 4 (y - 2) + 3 (x - 3) = 2

Frequently Asked Questions (FAQ)

What is 2x+3y=2,x-y=8 ?
The solution to 2x+3y=2,x-y=8 is x= 26/5 ,y=-14/5