Find all solutions of the given system of equations and check your answer graphically. hint [see examples 1-4.] (if there is no solution, enter no solution. if the system is dependent, express your answer in terms of x, where y = y( x − y = 0 x + y = 4

x − y = 0 = difference

x + y = 4 = sum

Can be solved by the sum and difference rule (most of the time without pen and paper)

x=(sum+difference)/2=0+4/2=2

y=(sum-difference)/2=(4-0)/2=2

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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)