Real World Linear Systems

Is this system ready for elimination?

A solution to a system tells us when...

If a farmer only has cows and hens in his pasture and there are 35 heads and 110 legs, how many cows does the farmer have?

(a)  

You are selling hot dogs and sodas. Each hot dog costs $2 and each soda costs $1. At the end of the night you made a total of $170 selling 120 items. How many hot dogs were sold?

(a)  

At the end of the season, the Bengals had 22 more victories than losses. The number of victories they had was three less than six time the number of losses. How many regular season games did the Bengals play?

(a)  

You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your bill totals $10.50. Your friend's bill is $9.50 for four soft tacos and two burritos. How much does a burrito cost?

(a)  

Suppose you start a business assembling and selling gizmos. It costs you $1500 to get started. Each gizmo costs $8 to make. You sell a gizmo for $20. How many gizmos do you need to sell to break even?

(a)  

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3