Systems of Equations

If you combine (add) the two equations in the system below, what is the result?

-4x-2y=-12

4x+8y=-24

• 8x + 10y = 36

• 6y = -36

• 10y = -36

• 6y = 36

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Select all answers that are true about the solution below:

x - y = 11

2x + y = 19

• 3x = 30

• 2(15) + y = 30

• 2(10) + y = 19

• 2x = 30

• The solution is (10, 1)

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation.

What is the price per pound of apples?

What is the price per pound of bananas?

• Apples cost $0.75 per pound & Bananas cost $1.25 per pound.

• Bananas cost $1.25 per pound & Apples cost $0.75 per pound.

• Apples cost $1.06 per pound & Bananas cost $1.05 per pound.

• Apples cost $1.25 per pound & Bananas cost $0.75 per pound.

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

Tags

CCSS.8.EE.C.8B

How many solutions are there to the system?

(Hint: Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

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

• no solution
• (2,0)
• (-4,0)
• (0,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6