Solve the equation algebraically. support your answer numerically and identify any extraneous solution4.)

1/x - 2/(x-3) = 4

multiply each side by x*(x-3)

x*(x-3)(1/x - 2/(x-3)) = 4*x*(x-3)

distribute

x*(x-3)(1/x) - 2/(x-3))x*(x-3) = 4*x*(x-3)

cancel

(x-3) - 2*x = 4x(x-3)

distribute

x-3-2x = 4x^2-12x

combine like terms

-x-3 = 4x^2 -12x

add x+3 to each side

0 = 4x^2 -12x+x+3

0 = 4x^2 -11x+3

using the quadratic formula

x= 11/8 - sqrt (73)/8

x=11/8 + sqrt (73)/8

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )