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Popular >

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

Solution

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

Solution

x = \frac{5}{3}, y = \frac{4}{3}

Solution steps

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

Isolate

x

for

x + y = 3 : x = 3 - y

Substitute

x = 3 - y

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

Simplify

[9 - 6 y = 1]

Isolate

y

for

9 - 6 y = 1 : y = \frac{4}{3}

For

x = 3 - y

Substitute

y = \frac{4}{3}

x = 3 - \frac{4}{3}

3 - \frac{4}{3} = \frac{5}{3}

x = \frac{5}{3}

The solutions to the system of equations are:

x = \frac{5}{3}, y = \frac{4}{3}

Popular Examples

x + 2 = 9, x - 2 = - 5

12p+13y=51,13p+12y=49

12 p + 13 y = 51, 13 p + 12 y = 49

x+3(2-y)=6,3x+2y=22

x + 3 (2 - y) = 6, 3 x + 2 y = 22

2x+3y-6z=4,3x-2y-9z=-7,2x+5y-6z=8

2 x + 3 y - 6 z = 4, 3 x - 2 y - 9 z = - 7, 2 x + 5 y - 6 z = 8

4x+y=7,2y+4x=12

4 x + y = 7, 2 y + 4 x = 12

Frequently Asked Questions (FAQ)

What is x+y=3,3x-3y=1 ?
The solution to x+y=3,3x-3y=1 is x= 5/3 ,y= 4/3