Exam 4: Linear Systems

Solve the system of equations: 6.6x + 3.5y = 110 2.9x + 4.7y = 106

Solve graphically: x = y, 2y = x - 200

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?

The difference of two numbers is 3. Their sum is 13. Find the numbers.

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

Solve the system of equations: 0.8x + 0.3y = 1.3 0.3x + 0.2y = 1.1

A machine requires five hours to make a unit of Product A and four hours to make a unit of Product B. Last month the machine operated for 440 hours producing a total of 100 units. How many units of each type of product did it produce?

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

Find the y-intercept for the following equation: 8x = 2 + y

Find the slope of the following: 2y - 3x = 6

Solve for x and y: 34x + 8y = 42 2y = x +

It takes a snowboarder 46 minutes to descend from an elevation of 9200 metres to an elevation of 4508 metres. What is the rate of descent (slope)per minute?

Solve and find the value of a, given 3a + 4b = 20 and 2a + b = 15

The age difference between my son and me is 30 years. In 3 years from today, I will be thrice as old as my son. What is my age now?

Find the slope and y-intercept: 10 - y = 8x

Find the slope of the following: x + 5y = 10

Solve the system of equations: + = + =

Graph: y = x - 4

How many solutions does the following system of linear equations have? x = 3y + 4 3x - 9y = 13

A bakery has been baking 4000 donuts a day for distribution. . The second shift has produced 1000 donuts fewer than two-thirds of the number of donuts produced by the first shift. Determine the number of donuts each shift has produced.