80 Chapter 2 Linear Equations and Inequalities in One Variable Solutions 4a. d = rt d t = rt t Divide each side by t. d t = r Simplify. 4b. P = 2l + 2w P - 2l = 2l + 2w - 2l Subtract 2l from each side. P - 2l = 2w Simplify. P - 2l 2w = 2 2 Divide each side by the coefficient of w, 2. P - 2l 2 = w Simplify. Note: P - 2l 2 is also equivalent to P 2 - 2l 2 or P 2 - l. It is not equivalent to P - l. 4c. A = 1 2 bh 2(A) = 2¢ 1 2 bh≤ Multiply each side by the LCD, 2. 2A = bh Simplify. 2A bh = h h Divide each side by the coefficient of b, h. 2A h = b Simplify. 4d. 2x + y = 4 2x + y - 2x = 4 - 2x Subtract 2x from each side. y=-2x + 4 Simplify. 4e. 3x - 4y = 12 3x - 4y - 3x = 12 - 3x Subtract 3x from each side. -4y=-3x + 12 Simplify. -4y -3x + 12 = -4 -4 Divide each side by the coefficient of y, -4. y = -3x -4 + 12 -4 Divide each term by -4. y = 3 4 x - 3 Simplify. Student Check 4 Solve each formula for the specified variable. a. A = lw is the formula for the area of a rectangle. Solve for w. b. P = a + b + c is the formula for the perimeter of a triangle. Solve for a. c. V = 1 3 Bh is the formula for the volume of a regular triangular pyramid. Solve for h. d. 6x - y = 6 for y. e. 2x + 7y=-14 for y.
hendricks_intermediate_algebra_1e_ch1_3
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