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Help checking Linear equation?
Ok I know how to find the solution to the problems but I cannot figure out how to check the work properly. Here they are....
8(2 - t) = -5t
16 - 8t = -5t
+8t +8t
16 = 3t
= 16/3
check:
8(2 - 16/3) = -5(16/3)
This is where I get stuck.... how do i distribute 8(16/3)
my book shows ... 8(6/3 - 16/3) = - 80/3
^ i dont know how you get that 6/3
heres another similar problem
5(2x + 3) = -1 + 7
10x + 15 = -1 + 7
10x + 15 = 6
- 15 -15
10x = -9
10x 10x
check:
5(2(-9/10) + 3) = -1 + 7
not sure how to check these ....
1 Answer
- izelkayLv 68 years agoFavorite Answer
What your book did was find common denominators for 2 and 16/3. This would be 3, so the multiplied 2 by 3 and divided, giving you:
6/3 - 16/3
Notice how 6/3 is 2.
Anyway, to distribute, you multiply what's outside the parenthesis by the numerators, so
8(6/3 - 16/3)
would be:
(8*6)/3 - (16*8)/3
48/3-128/3
-80/3
Alternatively, since what's inside the parenthesis now have a common denominator, you could subtract directly, and then multiply:
8(6/3 - 16/3)
8(-10/3)
-80/3
Same thing with the numbers on the right of the equal sign:
-5(16/3)
Just multiply the numerators
-80/3
