(p-3)/7p = 5/12
Cross Multiply:
12(p-3) = 7p(5)
Distribute:
12p-36 = 35p
subtract 12p from each side:
-36 = 23p
divide each side by 23:
p = -36/23
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15 + 3 = 7p - 4p ie 18 = 3p so p = 6
The question contains an expression, not an equation (nor inequality). An expression cannot be solved.
3p - 8 = 13 - 4p : Add 4p to both sides 7p - 8 = 13 : Add 8 to both sides 7p = 21 : Divide both sides by 7 p = 3.
To simplify 2p + 7p, you first combine the like terms by adding the coefficients of the p variable. In this case, 2p + 7p is equal to 9p. Therefore, the simplified form of 2p + 7p is 9p.
7p + 2q = 46 . . . . (A) 5p + 3q = 36 . . . . (B) 3*(A): 21p + 6q = 138 2*(B): 10p + 6q = 72 Subtracting gives 11p = 66 so that p = 6 Substitute for p in (A): 7*6 + 2q = 46 or 42 + 2q = 46 which gives 2q = 4 so that q = 2 Solution: (p, q) = (6,2)