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Steps: 1 ) Find the common factor for either s or t. 2) Multiply the entire equation by said common factor so either s or t match. 3) This will eliminate one of the variables. 4) Solve for either s or t. 5) Choose one of the equations, plug in your answer for either s or t into that equation. 6) Solve chosen equation. You now should have the answer to both s and t. If any of these steps confuse you just let me know, and I can walk you through it. :)
I think I need to be walked through. How do I know what to multiply by?
Ah, sure. For this particular case I am going to use t first, since it is the easiest. Multiply the entire top equation by 2. This will eliminate t since you will have positive 10t and negative 10t. Since this solution is adding, you can do: 10t + -10t (which equals 0.) So now you have a simple equation, combine your s values and regular numbers to get: 4(2) s+ 5s, 9(2)+ 8 = 13s = 26
Solve for s, then plug your s value into one of the original equations to get t.
I still don't understand. maybe i will stop for the day
It just looks like a quiz or test to me, so I don't want to give you the final product. What is confusing you?
I'm a visual not a read and do
why did you do 9(2)
4s + 5t = 9 (multiply the entire equation by 2) 8s + 10t = 18 5s + -10t = 8 13s = 26 (added problems together) Then solve for s, and plug in s to the original equation of your choice.
s=2?
Yup. (:
now what?
Plug 2 into your original equation for s. Choose either equation, it is your choice.
4(2)+5t=18? or would I do 4(2)+5t=9
The second equation. The first would be incorrect even if you could use your changed equation because the 5t would change to 10t and the 4 to 8.
I don't understand I got 4(2)+5t=9 8+5t=9 now I don't know the next step
Now you use order of operations to solve for t. Keep in mind your goal is to get t alone.
Do I subtract 8 from both sides and divide by 5?
Yup. That will get t alone and you should have your answer. (:
so t=1/5
Yes, exactly. :D
Thanks
No problem, just keep in mind with future problems that instead of just multiplying by part of the equation to cancel out a variable, you multiply the entire equation by whatever number (in this case s).
S, as used first so you would multiply by 2. I hope that made sense, lol...
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