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Systems of Linear Equations and Problem Solving

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Solve: Find two numbers whose sum is 30 and whose difference is 6.   show
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Solve: One number is two more than a second number. Twice the first is 4 less than 3 times the second. Find the numbers.   show
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show 2x+5y=65 and 4x+3y=81 (Addition/Elimination) Multiply first equation by -2 to set opposite. -4x-10y=-130 Add to second equation and solve for y. (Y=7) plug 7 in for y in first equation and solve for x. (X=15) Price of DVD $15, price of CD $7  
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show R is revenue and C is cost. R(x)=31x and C(x)=500 + 15x R(x)=C(x) so 31x =500 + 15x Subtract 15 from both sides 16x=500 divide by 16 and round to nearest whole basket. Break even point (x=31)  
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Company recently purchased $3000 worth of new equipment to offer new stationary to customers. The cost of producing a package of stationary is $3.00, and it is sold for $5.50. Find the number of packages that must be sold for company to break even.   show
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The measure of the largest angle of the triangle is 40 degrees more than the measure of smallest angle and the measure of the remaining angle is 20 degrees more than the measure of the smallest. Find measure of each angle.   show
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show 3+w=L and 2w+2L=30 Substitue 3+w=L into second equation. 2w+2(3+w)=30 Solve for W. W=6 Plug 6 into first equation and solve. 3+6=L so 9=L  
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Sarah and Keith purchased 40 stamps, a mixture of .44 cent and .20cent stamps. Find the number of each type of stamp if they spent $16.40.   show
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Puri rowed 18 miles down Delaware River in 2 hours but the return trip took him 4.5 hours, find the rate Puri can row in still waters and find the rate of the current. x= Rate in still water y=rate of current D=r(t)   show
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Samuel has 28 gallons of Saline solution available in two large containers at his pharmacy. One container holds three times as much as the other container. Find capacity of each.   show
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Created by: salijarrous
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