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r and s can be any values such that r + s = 39. The answer is indeterminate since there are many solutions for that expression. If the new expression is included, then there must be some r and s for the problem.
Since r varies directly with s, we have r = ks (replace k with 5 and s with 7) r = (5)(7) r = 35
Given T = R + RS Lateral inversion makes it to be R + RS = T Taking R as common factor, we get R(1+S) = T Now dividing by (1+S) both sides, R = T / (1+S) Hence the solution R = T/(1+S)