# Solving ax + b = cx+d by Ben6144

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```									Objective- To solve equations in the form ax + b = cx + d and inequalities in the form ax + b < cx + d Solve.
14k + 20 = 21k - 43 -14k -14k 20 = 7k - 43 + 43 + 43 63 = 7k 7 7 9=k

Solve. x + 1.05x = 2x - 1000 2.05x = 2x - 1000 -2x -2x 0.05x = -1000 0.05 0.05 x = -20,000

Solve. - 2y + 11 = - 6y +2y +2y 11 = - 4y -4 -4

-2.75 =

y

Problem In 1990, the population of El Paso was 515,000 and increasing at 9000 people per year. Milwaukee was 628,000 and Let n = number of years decreasing at population per year. Let P = 800 people When will they be the same? Milwaukee El Paso P = 515,000 + 9000n P = 628,000 - 800n

Let n = number of years Let P = population Milwaukee El Paso P = 515,000 + 9000n P = 628,000 - 800n
515,000 + 9000n = 628,000 - 800n + 800n +800n 515,000 + 9800n = 628,000 -515,000 -515,000 9800n = 113,000 9800 9800 n 11.53 years

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Problems Involving Inequalities Solve. -3( x - 5 ) + 7 < 4( 3x + 2) -3x + 15 + 7 < 12x + 8 -3x + 22 < 12x + 8 +3x +3x 22 < 15x + 8 -8 -8 14 < 15x 14 15 15 x> 14 15 < x
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Tree Problem A beech tree is 8 ft. tall and grows 1 2 ft. per year. A maple tree is 3 ft. tall and grows 1 foot per year. When will the maple be taller than the beech? Let x = number of years Let h = height of tree Beech tree Maple tree h = 8 + 0.5x h=3+x

When is maple taller than beech? Let x = number of years Let h = height of tree Beech tree Maple tree < h = 8 + 0.5x h = 3+x 8 + 0.5x < 3 + x - 0.5x - 0.5x 8 < 3 + 0.5x 5 < 0.5x x > 10 years 10 < x

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