By Gerald Holton, F. James Rutherford, Fletcher G. Watson
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Extra resources for Project Physics: Programmed Instruction: Equations
Sample text
3r - 6s = 3$ r Sufctract 3s from both sides. 3(r would be - 2s) 3(r Remove add 6s (iii) - 2s) = r to both sides, or divide by 9. 3r (i) (ii) (iii) - 6s = r + 3s 3r= r+9s 2r = 9s 3r + 3s - 6s - 3s 3r (ii) subtract r from both - 9s = 3s - 3s r = r Subtract 3r from both sides. 3r - 9s - 3r = r -9s = -2r - 3r Then divide both sides by -9. -9s -2r -9 " -9 See rx>te at left. 28 We shall conclude this program with a few simple equations to solve. Solve for p.
Y X - y • X 6 = y + X 6-y=y»x-y 6 - y = X A20 02X2 (i) Multiply both sides by (ii) Divide both sides by P2 A19 (0 \T} V = of (ii) I (ill) Divide both sides by a: 17 Here is another similar equation: Sit = Solve this equation 5f + 15s for k. 21 Perform the two operations listed for in P,V, P2V2 n "zTi , Ti A20 to solve the equation V2. 20 OUR PROBLEM: If v = of and d = jat^, find a in terms of v Substitute the value we have found and for t equation, and do any necessary simplification. d. into the second A17 5k -.
9s -2r -9 " -9 See rx>te at left. 28 We shall conclude this program with a few simple equations to solve. Solve for p.