Case Module 3 - x + 3y = 32-3x + 2y = 3 Answer: x+3y =...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Lynnette K Bryant BUS 306 Quantitative Reasoning Case Case- Module 3 Systems of Linear Equations 29 August 2011 1. Determine whether the lines will be perpendicular when graphed. 3x - 2y = 6 2x + 3y = 6 Answer: slope of 1st equation: 3/2 slope of 2nd equation: -2/3 since their product is -1, the lines are perpendicular . 2. Alice's Restaurant has a total of 205 seats. The number of seats in the non-smoking section is 73 more than twice the number of seats in the smoking section. How many seats are in each section? Answer: x = smoking seats 2x + 73 = non-smoking seats x + 2x + 73 = 205 total seats 3x + 73 = 205 {combined like terms} 3x = 132 {subtracted 73 from both sides} x = 44 2x + 73 = 161 44 smoking seats 161 non-smoking seats
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3.   Solve the system of equations by the substitution method
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x + 3y = 32-3x + 2y = 3 Answer: x+3y = 32-3x+2y = 3 Using Substitution Method First equation, y = 32/3 = 10.6666666666667 Second equation, -3x+2y = 3, or, -3x = 3-2y = -18.3333333333333 x = -18.3333333333333/ (-3) = 6.11111111111111. 4. Solve the system of equations x + y = 5 x - y = -9 Answer: Solve for x and y x+x+9=5 2x+9=5-9 -9 2x=-4 X= -2 5. Ricks Paint Store sells a special shade of pink paint (Ricky's Blush) which can be made from red paint and white paint. The amount of red paint should be three times the amount of white paint. How much of each kind of paint is needed to make 264 gallons of Ricky's Blush? Answer: x = amount (gals) of white paint 3x = amount (gals) of red paint x + 3x = 264 4x = 264 x = 264/4 x = 66 gals (white paint) Red paint: 3x = 3(66) = 198 gals...
View Full Document

This note was uploaded on 01/13/2012 for the course BUS 305 taught by Professor Dr.benjaminyeo during the Spring '11 term at Trident Technical College.

Page1 / 2

Case Module 3 - x + 3y = 32-3x + 2y = 3 Answer: x+3y =...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online