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This equation is true for all values of the variable. This is called an identity (many solutions). p. 98 3b. 6(y – 5) = 2(10 + 3y) 6y – 30 = 20 + 6y -6y -6y Subtract 6y on both sides -30 20 False (no solution) 39.
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This equation is true for all values of the variable. This is called an identity (many solutions). p. 98 3b. 6(y – 5) = 2(10 + 3y) 6y – 30 = 20 + 6y -6y -6y Subtract 6y on both sides -30 20 False (no solution) 39. Let d = the number of DVD’s they must sell to make a profit production cost = selling price 1500 + .80d = 1.59d - .80d = -.80d 1500 =.79d .79 .79
d = 1898.7 The company must sell 1,899 DVD’s per day to make a profit. Let’s do 22.
Geometry 22. Find the value of x so that the rectangles have the same area. A = lw A = 12x square units A = lw A = 16 (x – 2) A = 16x – 32 square units 12 units x – 2 units x units 16 units
12x = 16(x - 2) 12x = 16x - 32 -16x -16x_____ -4x = -32 -4 -4 x = 8 x needs to be 8 in order for the areas to be the same. A = lw A = 8(12) = 96 square units
Example: 6v – 4 = v 8 2 (8) 6v – 4 = v (8) Multiply both sides by 8 8 2 6v – 4 = 4v -6v -6v Subtract 6v on both sides -4 = -2v -2 -2 Divide -2 on both sides 2 = v
Now do 21. 21. 6(3a + 1) – 30 = 3(2a – 4) Exit Slip p. 97 Guided practice 1B under Example 1