How do i solve a word problem using a matrice with these equations:
10x+12y+20z=1240
1.5x+2y+4z=240
1x+1y+1z=70

In matrix form, the system

is

Multiplying through both sides of the second equation by 2 doesn't change the system fundamentally:

Then we can try to find a solution via elimination. Consider the augmented matrix,

Subtract 10(row 1) from row 2, and subtract 3(row 1) from row 3:

Subtract 2(row 2) from row 3:

We end up with a row of 0s, which means the system is underdetermined and dependent, or that it has infinitely many solutions.

because they could drop even lower..

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)