1.How many solutions does the following system have?

y=3x-2

-4y+12x=8

2.A library is selling books to raise money. All paperbacks cost the same amount, and all hardcover books cost the same amount. If one person buys 5 paperback books and 4 hardcover books and spends $124.91, and another person buys 3 paperback books and 2 hardcover books and spends $66.95, how much do the paperback books cost?

3.Your mom went shopping with your aunt. Your mom spent $15.50 for 3 pounds of apples and 4 pounds of oranges. And your aunt spent $18.50 for 5 pounds of apples and 3 pounds of oranges. Which system of equations correctly represents this problem if you letrepresent the cost of a pound of apples andrepresent the cost of a pound of oranges.

4.Your mom went shopping with your aunt. Your mom spent $15.50 for 3 pounds of apples and 4 pounds of oranges. And your aunt spent $18.50 for 5 pounds of apples and 3 pounds of oranges. Which system of equations correctly represents this problem if you letrepresent the cost of a pound of apples andrepresent the cost of a pound of oranges. 2x-3y=-12

-5x+12y=21

5.Solve the following system of linear equations. 4x-3y=20

y=-8x-2

6.During a baseball game, a food stand sells popcorn for $2.50 and hotdogs for $3 each. If at the end of the game, the stand made $200 and sold twice as many bags of popcorn as hotdogs, how many bags of popcorn did the stand sell?

Which of the following lines is NOT perpendicular to y= - 1/2x +4 a. 6y-3x=-30, b. 4y-8x=24, c. y-2x=4, d. 10x-5y=20