Multi-Step and Systems of Equations

Solve the following system of equations:
2x+3y=17
y=4x+1

• (-1,-3)

• (1,5)

• (1,3)

• (2,4)

Is (3,2) a solution to
3x-4y=1
x-y=0

• yes

• no

Solve the following system:
A farmer is in his field and knows he has 13 animals.  His animals are made up of chickens and cows.  The farmer can see that he has 34 legs in all but needs to know how many of each animal he has. 

• 4 cows, 9 chickens 

• 4 cows, 2 chickens

• 9 cows, 4 chickens

• 9 cows, 2 chickens 

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

Which image shows a system of linear equations with infinitely many solutions?

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• 
• 
• 

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20