AR = Q(R-A) solve for R?

Question

can you explain the steps to me please?

Answer 1

ok, so you have to isolate R.

AR=Q(R-A) (divide by Q)

AR/Q=R-A (add A and subtract R)

AR/Q+A-R=0 (multiply by Q)

AR+AQ-RQ=0 factor R from like terms)

R(A-Q)+AQ=0 (subtract AQ)

R(A-Q)=-AQ (divide both sides by A-Q)

R=-AQ/(A-Q)

Answer 2

AR=QR-QA (distibuting)

AR-QR=-QA (subtracting QR)

R(A-Q)=-QA (umm... antidistributing?)

R=(-QA)/(A-Q) (divide by A-Q)

make it a good day

Answer 3

AR = Q(R-A)  distribute the q

ar = qr -qa  add qa and subtract ar from both sides

qa = qr-ar  factor out the r

qa = r(q-a) divide by q-a

qa/q-a = r

Answer 4

R = QA/(Q-A), since AR = QR - QA leads to QA = R(Q-A).

Answer 5

ar = q(r-a)

ar = qr - qa

qa = qr - ar

qa = r(q-a)

qa/(q-a) = r