i really dont understan what to do ... can you please show your work and explain what you did?
3t+8(2t-6)=2+14t
2007-01-09 12:00:27 · 10 answers · asked by brandy 1 in Education & Reference ➔ Homework Help
3t+8(2t-6)=2+14t
Please Excuse My Dear Aunt Sally (do the Parenthesis first, then Exponents, then Multiplication and Division from left to right, and lastly, Addition and Subtraction from left to right.
Since you don't know what t is, you really can't add the numbers in the parenthesis yet. Instead, you distribute them.
8(2t-6) becomes: 16t- 48.
(You multiply 8 and 2t and multiply 8 and 6 and add them together.)
Your equation is now
3t+16t-48=2+14t.
You want to solve for t, so you have to get it alone on one side of the equation.
Simplify the terms in the equation. In other words, add/subtract the like terms.
19t-48=2+14t.
5t=50
and divide
so t=10
2007-01-09 12:12:33 · answer #1 · answered by :D 2 · 0⤊ 0⤋
It looks like you need to solve this equation. That is, figure out the value of the unknown variable "t". You do oit like so:
Given is the equation: 3t+8(2t-6)=2+14t
Step 1) get rid of the parentheses:
3t+8x2t-8x6=2+14t
Step 2) multiply:
3t +16t - 48 = 2 + 14t
Step 3) Simplify the left side by adding up the elements of "t"
19t - 48 = 2 + 14t
Step 4a) Isolate the "t" on one side of the equation and everything without "t" on the other. You do it by adding and subtracting the same items on both sides:
19t - 14t - 48 = 2 + 14t - 14t
Step 4b) 5t - 48 = 2
Step 4c) 5t - 48 + 48 = 2 + 48
Step 4d) 5t = 50
Step 5) Calculate the value of "t" by dividing both sides of the equation by 5:
5t/5 = 50/5
Result: t = 10
2007-01-09 12:17:56 · answer #2 · answered by Anonymous · 0⤊ 0⤋
3t + 16t - 48 = 2 + 14T multply expression in parentheses
19t - 48 = 2 + 14t add the t's on the left
19t = 14t + 50 add 48 to both sides
5t = 50 subtract 14t from both sides
t = 10
2007-01-09 12:09:20 · answer #3 · answered by buz 7 · 0⤊ 0⤋
3t +8(2t-6)=2+14t
First do detributive property
3t +16t -48=2+14
subtract 14t from each side
3t+16t-48-14t=2
add 48 to each side
3t+16t-14t=50
add 3 and 16
19t-14t=50
subtract 14t from 19t
5t=50
Divide both sides by five
t=10
2007-01-09 12:09:18 · answer #4 · answered by Simply Me 2 · 0⤊ 0⤋
3t + 8(2t-6) = 2 + 14t
3t + 16t - 48 = 2 + 14t
19t - 48 = 2 + 14t
5t- 48 = 2
5t = 50
t = 10
2007-01-09 12:08:39 · answer #5 · answered by xxcowsgomoo724xx 2 · 0⤊ 0⤋
3t+16t-48=2+14t
19t-48=2+14t
19t=48+2+14t
19t-14t=50
5t=50
5t/5=50/5
t=10
I multiplied the stuff in the brackets first...."8(2t-6)"... this would equal to the 16t and -48(8*2t, 8*-6).
2007-01-09 12:08:32 · answer #6 · answered by Anonymous · 0⤊ 0⤋
3t+8(2t-6)=2+14t
distribute the 8
3t+16t-48=2+14t
combine like terms
19t-48=2+14t
5t-48=2
5t=50
t=10
2007-01-09 12:05:18 · answer #7 · answered by Christine 2 · 0⤊ 0⤋
3t+8(2t-6)=2+14t
subtract 3t on both sides
8(2t-6)=2+11t
multiply 2t and -6 by 8
16t-48=2+11t
subtract 11t from both sides
5t-48=2
add 48 on both sides
5t=50
50/5=10
t=10
2007-01-09 12:11:39 · answer #8 · answered by The Answering Peanut Butter 3 · 0⤊ 0⤋
Always take care of what's in the parenthesis first.
In this case, you must multiply what's in the parenthesis by 8.
3t+16t-48=2+14t
Simplify.
19t-48=2+14t
We can add 48 to both equations to simply even further.
19t=50+14t
We can subtract 14t from both equations to simply further.
5t=50
We can divide both equations by 5 to solve for t.
t=10
(Hint: What you do to one equation must also be done to the other equation.)
2007-01-09 12:15:33 · answer #9 · answered by SueInBoston 3 · 0⤊ 0⤋
sorry 8th grade
2007-01-09 12:06:15 · answer #10 · answered by Dajanae E 1 · 0⤊ 1⤋