# Mth208 Week 4 Individual Textbook Problem

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MTH208 – Week 4 Individual Textbook Problems Page 459, #20 Solve each system by graphing. and To solve graphically, we need points on a line. We can find these by assigning 3 numbers to x and solve for y and then plug them into the equation each time to see that they work. See table below for numbers assigned to x which gave us the values for y. Y=X 2x + 3y = 5 X | Y X | Y 3 | -2 3 | -0.33 0 | 0 0 | 1.66 -3| 2 -3 | 3.66 Page 461, #70 Solve each system by the substitution method. and Plugging in the solutions: Page 461, #92 Investing her bonus. Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder…show more content…
2y – x = 3 x = 3y – 5 2y-(3y-5)=3 2y-3y+5=3 -y+5=3 -y=3-5 -y=-2 Y=2 So, x=3(2)-5 = x=6-5 = x=1 So, if y=2 and x=1 then 2(2)-1=3 yes 4-1=3. Page 472, #72 Books and magazines. At Gwen’s garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for \$1.45, and June bought two books and five magazines for \$1.25. What was the price of a book and what was the price of a magazine. Books = b Magazines = m Henrietta bought 4b + 3m = 1.45 June bought 2b + 5m = 1.25 4b + 3m = 1.45 + -4b - 10m = -2.50 (multiplied by -2 throughout the equation) = 0 – 7m = -1.05 = m =0.15 If m=0.15 than 2b + 5(0.15) = 1.25 2b + 0.75 = 1.25 2b = 0.50 = b = 0.25 Henrietta bought 4 books for \$1.00 and 3 magazines for \$0.45 for a total of \$1.45 June bought 2 books for \$0.50 and 5 magazines for \$0.75 for a total of