Exam 4: Linear Systems

Solve the system of equations: + = + =

Graph: y = -

Find the slope and y-intercept: 43 + 7y = 16x

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.

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?

Solve graphically: 4y - 20 = 6x and x = 2

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

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

Graph: 3x + 4y = 12

Solve the system of equations: y - 8 = 2y - x = 8

Graph: y = 3 - 2x

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

Graph: x + 4y = 8

Graph: x = -4

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

Graph: y = -6

An electrician charges a flat fee of $90 for a home service call. In addition he charges $25 for every 20 minutes as labour cost. If one writes an equation to calculate total charges in terms of hours of labour, what will be the slope of the line?

Graph the region defined by x > 0, 6y + 12x < 30, and 6x - 2y > 10

Solve for x and y: 7x + 3y = 42 4x + 6y = 36

The Oak Store has been producing 4640 chairs a day working two shifts. The second shift has produced 120 chairs fewer than four-thirds of the number of chairs produced by the first shift. Determine the number of chairs each shift has produced.