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Popular >

3x+2y=10,x-y=4

Solution

3 x + 2 y = 10, x - y = 4

Solution

x = \frac{18}{5}, y = - \frac{2}{5}

Solution steps

[3 x + 2 y = 10 x - y = 4]

Isolate

x

for

3 x + 2 y = 10 : x = \frac{10 - 2 y}{3}

Substitute

x = \frac{10 - 2 y}{3}

[\frac{10 - 2 y}{3} - y = 4]

Simplify

[\frac{10 - 5 y}{3} = 4]

Isolate

y

for

\frac{10 - 5 y}{3} = 4 : y = - \frac{2}{5}

For

x = \frac{10 - 2 y}{3}

Substitute

y = - \frac{2}{5}

x = \frac{10 - 2 ( - \frac{2}{5} )}{3}

\frac{10 - 2 ( - \frac{2}{5} )}{3} = \frac{18}{5}

x = \frac{18}{5}

The solutions to the system of equations are:

x = \frac{18}{5}, y = - \frac{2}{5}

Popular Examples

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

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

99x+101y=49,9101x+99y=501

99 x + 101 y = 49, 9101 x + 99 y = 501

5m-3n=1,9m-6n=-7

5 m - 3 n = 1, 9 m - 6 n = - 7

2x=3y-14,2y=x+8

2 x = 3 y - 14, 2 y = x + 8

x+2y=17,x-2y=-3

x + 2 y = 17, x - 2 y = - 3

Frequently Asked Questions (FAQ)

What is 3x+2y=10,x-y=4 ?
The solution to 3x+2y=10,x-y=4 is x= 18/5 ,y=-2/5