Find the solution to this system of equations
3x+2y+3z=3 4x-5y+7z=1 2x+3y-2z=6
x=? y=? z=?

The solution is

Step-by-step explanation:

You are given the system of three equations:

Multiply the first equation by 4, the second equation by 3 and subtract them. Then multiply the third equation by 2 and subtract it from the second equation:

So,

Multiply the third equation by 23 and subtract it from the second equation:

Hence,

Substitute it into the second equation:

Substitute them into the first equation:

The solution is

32

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)