1. solve for p
3(p + q) = p
2. solve for b, then find the value of b when a = 3
4a = 2b - 7
3. solve for r
d = rt
4. find the width of a rectangle with a perimeter of 90 and a length of 15
a. 90
b. 15
c. 45
d. 30

Step-by-step explanation:

1. Subtract p:

  3p +3q -p = 0

  2p +3q = 0 . . . . collect terms

  2p = -3q . . . . . . subtract 3q

  p = -3q/2 . . . . . . divide by the coefficient of p

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2. Add 7 and divide by the coefficient of b:

  4a +7 = 2b

  (4a +7)/2 = b

Substitute for a to find the value of b.

  (4(3) +7)/2 = b = 19/2

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3. Divide by the coefficient of r:

  r = d/t

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4. The sum of length and width is half the perimeter:

  15 + w = 90/2 = 45

  w = 30 . . . . . . . subtract the length; the width is 30 units

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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