At what point do the two carpet cleaners charge the same amount for their services?
square feet of carpet
Mariam solved the system of linear equations below correctly.
12x + 6y = 12 2y = –4x + 4
These were the last two steps of her work:
12x – 12x + 12 = 12 12 = 12 Which statement about the equations must be true?
y = 12
x = 12
There is no solution to this system of equations
This system of equations has infinitely many solutions.
Consider the following equations:
y = 6x + 2 and y = 3x + 2
Which of the following is true concerning the graphs of these equations?
The lines are identical.
The lines intersect at exactly one point.
The lines are parallel to each other.
The graphs of the lines intersect each other at the point (2, 2).
Which statement about this linear system must be true?
2x=4y-1y=12x+14
x = 0
y = 0
There is no solution to this system.
There are infinitely many solutions to this system.
The admission fee at the fair is $2 for children and $5 for adults. Today, 1,700 people enter the fair, and $5,470 is collected. How many children and adults attended?
children = 690, adults = 1,010
children = 1,010, adults = 690
children = 750, adults = 950
children = 1,300, adults = 400
