Exam 4: Linear Systems

A machine requires 3 hours to make a unit of Product A,and 6 hours to make a unit of Product B.The machine operated for 195 hours producing a total of 40 units.How many hours were used to manufacture units of Product A?

A machine requires 1 hours to make a unit of Product A,and 4 hours to make a unit of Product B.The machine operated for 195 hours producing a total of 80 units.How many hours were used to manufacture units of Product A?

Find the slope and y-intercept: 1 - y = 4x

Graph: y = 3 - 2x

Solve graphically: 2y = x + 200 and 3x + 2y = 240

Solve graphically: 4x = -2y and x = 6

Find the y-intercept for the following equation: 5y + 7 = 19

Sobeys sells fruit trays consisting of pineapple and melons.The manager of the fruit department obtains pineapples at a wholesale price of $2.50 per kg,grapes at $2.15 per kg,strawberries at $1.50 per kg and melons at $1.85 per kg.He is required to produce 10 kg of the mixed fruit.He is required to add 2 kg of strawberries and 3 kg of grapes.What is the maximum weight of pineapple that he can put in the mix in order to have an effective wholesale cost no greater than $2.00 per kg?

Solve and find the value of x,given: = and x + 5y = 38

Solve graphically: 4y = -5x and x = -6

Graph: x = -4

Find the slope of the following: 2x + 5y = 50

Solve graphically: 2x = -5y and 3x + y = 9

Bonny and Clyde divide a profit of $15 700.If Clyde is to receive $4200 more than one-fifths of Bonny's share,how much will Bonny receive?

It takes your company 6 labour hours to manufacture a simple hot tub and 9 labour hours to manufacture a deluxe hot tub.Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs.How many of each type of hot tub did you manufacture?

Graph: y = -4x + 16

The difference between seven times the first number and three times the second number is 12.The sum of three-fourths of the first number and two-thirds of the second number is 21.Find the two numbers.

1000 tickets were sold for Cirque du Soleil.Adult tickets cost $8.50,children's cost $4.50,and a total of $7300 was collected.How many tickets were sold to adults?

Find the slope and y-intercept: 4x + 5y = 31

Find the slope of the following: 20y - 4x = 5