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Mathematics 21 Online
OpenStudy (anonymous):

Describe the steps you would take to solve I=prt for t

jimthompson5910 (jim_thompson5910):

\[\Large I=prt\] \[\Large \frac{I}{pr}=t\] \[\Large t=\frac{I}{pr}\]

OpenStudy (anonymous):

Are you sure!

jimthompson5910 (jim_thompson5910):

yes I'm sure

OpenStudy (turingtest):

Description: "Divide both sides by pr"

OpenStudy (anonymous):

Can you help me with another one please?

jimthompson5910 (jim_thompson5910):

sure

OpenStudy (anonymous):

ax+b=cx-d;2x+9=7x-1

jimthompson5910 (jim_thompson5910):

what do you want to do here?

OpenStudy (anonymous):

I have no idea im lost

jimthompson5910 (jim_thompson5910):

I mean, are there any other instructions?

OpenStudy (anonymous):

It says sole the literal equation for x. then use the solution to solve the sepcific equation

OpenStudy (anonymous):

solve sorry

OpenStudy (anonymous):

U there

jimthompson5910 (jim_thompson5910):

i see, so solve ax+b=cx-d to get \[\Large ax+b=cx-d\] \[\Large ax=cx-d-b\] \[\Large ax-cx=-d-b\] \[\Large x(a-c)=-d-b\] \[\Large x=\frac{-d-b}{a-c}\] In the case of the second equation 2x+9=7x-1, we see that a = 2, b = 9, c = 7 and d = 1, so plug all this info into the last equation to get \[\Large x=\frac{-d-b}{a-c}\] \[\Large x=\frac{-1-9}{2-7}\] \[\Large x=\frac{-10}{-5}\] \[\Large x=2\] which is your answer

jimthompson5910 (jim_thompson5910):

does that make sense?

OpenStudy (anonymous):

Yes thank you:) that was awesome i would of never guessed!

OpenStudy (anonymous):

5x+4y=10

jimthompson5910 (jim_thompson5910):

what about it?

OpenStudy (anonymous):

I need help writing the equation so that y is a function of x

jimthompson5910 (jim_thompson5910):

ok, Solve for y to get \[\Large 5x+4y=10\] \[\Large 4y=10-5x\] \[\Large 4y=-5x+10\] \[\Large y=\frac{-5x+10}{4}\] \[\Large y=-\frac{5}{4}x+\frac{10}{4}\] \[\Large y=-\frac{5}{4}x+\frac{5}{2}\]

OpenStudy (anonymous):

Thats the answer

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

alternatively, you can replace y with f(x) as they are the same thing to get \[\Large f(x)=-\frac{5}{4}x+\frac{5}{2}\]

jimthompson5910 (jim_thompson5910):

but the first answer is better in my opinion

OpenStudy (anonymous):

thanks what about...... 18x-2y=26?

jimthompson5910 (jim_thompson5910):

18x-2y=26 -2y=26-18x -2y=-18x+26 y=(-18x+26)/(-2) y=(-18x)/(-2)+26/(-2) y = 9x - 13

OpenStudy (anonymous):

what about 4(2x-y)=6

jimthompson5910 (jim_thompson5910):

4(2x-y)=6 8x-4y=6 -4y=6-8x -4y=-8x+6 y=(-8x+6)/(-4) y=(-8x)/(-4)+(6)/(-4) y=2x-3/2 So the answer is \[\Large y = 2x-\frac{3}{2}\]

OpenStudy (anonymous):

Ok this is easy 5x-3x=9?

jimthompson5910 (jim_thompson5910):

two x terms?

OpenStudy (anonymous):

5x and 3x

jimthompson5910 (jim_thompson5910):

5x-3x = 9 2x = 9 x = 9/2

OpenStudy (anonymous):

3x+2y+5x=12 i dont get it/???

jimthompson5910 (jim_thompson5910):

3x+2y+5x=12 2y+8x=12 2y = -8x+12 y = -4x+6

OpenStudy (anonymous):

8x-8y=5

OpenStudy (anonymous):

?

jimthompson5910 (jim_thompson5910):

solve for y and let me know what you get

jimthompson5910 (jim_thompson5910):

if you're stuck, the first step is to move the 8x to the other side

OpenStudy (anonymous):

x=5???

jimthompson5910 (jim_thompson5910):

8x-8y=5 -8y=5-8x ... subtract 8x from both sides

jimthompson5910 (jim_thompson5910):

from there, rearrange terms and divide both sides by -8 to solve for y

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