Choose the system of equations that represents the following situation: You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair.
x + y = 7 and x + 3y = 19
x + y = 7 and x + 5y = 19
x + y = 5 and 3x + 5y = 19
x - y = 5 and x + y = 19
You exercised on a treadmill for 1.5 hours. You jogged at 4 miles per hour then sprinted at 6 miles per hour. The treadmill monitor shows that you ran for a total of 7 miles. How long did you run at each speed?
Sprint for 0.5 hours, jog for 1 hour
Sprint for 1 hour, jog for 0.5 hours
Sprint for 0.75 hours, jog for 0.75 hours
Sprint for 0.25 hours, jog for 1.25 hours
Use elimination to solve the system x - 2y = 4 and 6x + 2y = 10
(-1, 2)
(1, -2)
(2, -1)
(-2, 1)
Which system of equations has solution (2, 1)?
2x + y = 5 and x - y = 1
x + y = 0 and 3x + 2y = 1
2x - 3y = - 7 and 3x + y = - 5
x + 2y = 1 and 5x - 4y = -23
Consider the system 4x - 3y = 6 and 6x + y = 10. The first equation is multiplied by 3. By what number would you multiply the second equation in order to eliminate the x variable by adding?
-2
2
9
-9
Solve the system 2x + 3y = 5 and 3x - 2y = 1
(3, 4)
(1, 1)
(-2, 3)
(4, -1)