how do i solve it i dont understand with the 11x/3 parts
how do i solve it i dont understand with the 11x/3 parts
11x/3 is equivalent to (11/3)x.
Rewrite the terms like this and put all the terms together that have an x in them:
6x + (11/3)x + (11/3)x + 4 = 360
Add all the x terms together:
(6 + 11/3 + 11/3)(x) + 4 = 360
(40/3)(x) + 4 = 360
Subtract 4 from both sides:
(40/3)(x) = 356
Multiply both sides by (3/40), the reciprocal of the coefficient in front of the x:
(3/40)(40/3)(x) = (356)(3/40)
Simplify and you end up with:
x = 26.7
6x + 4 + 11x/3 + 11x/3 = 360
Unless you enjoy calculating fractions, I recommend you eliminate the fractions by multiplying by the greatest common factor (GCF). In this case the GCF is 3, because it is the only denominator. To keep the equation balanced while multiplying by the GCF, you need to multiply both sides of the equation by the GCF:
3(6x + 4 + 11x/3 + 11x/3) = 3(360)
To multiply the left side of the equation, use distributive property so each term is multiplied by 3:
3(6x) + 3(4) + 3(11x/3) + 3(11x/3) = 3(360)
When multiplying 3(11x/3), the GCF cancels out the denominator because 3/3 =1 so after multiplying each term you have:
18x + 12 + 11x + 11x = 1080
Combine like terms so you have:
40x + 12 = 1080
Now doing simple algebra:
40x + 12 = 1080
-12 -12
40x = 1068
40 40
x = 26 28/40 = 26 7/10 = 26.7