Addison M.

asked • 11/09/22

-3/4(3/2r+1)-11/3r=5/4(3/2r+1)

solve for r

Peter R.

tutor
Is it 3/2r or (3/2)r? 11/3r or (11/3)r? I'll assume the latter.
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11/09/22

Stanton D.

Yes, Addison M., please use parentheses liberally whenever you post a problem in text form. In any event: look for common factors (you should see one easily). Use that to collect those terms on the right side of the equation, then flip each side (exchange numerators and denominators). Just some easy math from there.
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11/09/22

1 Expert Answer

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Peter R. answered • 11/09/22

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-3/4(3r/2 + 1) - 11r/3 = 5/4(3r/2 + 1 )

Notice the common factor of 3r/2 + 1. Bring them both to one side so you can factor them out.

-3/4(3r/2 + 1) - 5/4(3r/2 + 1) = 11r/3

(3r/2 + 1)(-3/4 - 5/4) = 11r/3

-8/4 or -2(3r/2 + 1) = 11r/3

-3r - 2 = 11r/3 mult both sides by 3

-9r - 6 = 11r → -20r = 6 → r = -6/20 = -3/10


You can check by substituting -3/10 into the original equation (might to be easier to use -0.3 and use a calculator).

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