A first number is seven greater than a second number. Twice the first number is four more than three times the second n

# A first number is seven greater than a second number. Twice the first number is four more than three times the second n

## A first number is seven greater than a second number. Twice the first number is four more than three times the second n

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1. 4.3 - Applications A first number is seven greater than a second number. Twice the first number is four more than three times the second number. What are the numbers? 1st number is x, 2nd number is y Substitution Method Solution

2. 4.3 - Applications Two trains leave Tulsa, one traveling north and the other south. After four hours, they are 376 miles apart. If one train is traveling ten miles per hour faster than the other, what is the speed of each train? x 4 4x y 4 4y Substitution Method

3. 4.3 - Applications A boat can travel 20 miles down-stream in 2 hours. It can travel 18 upstream in 3 hours. What is the speed of the boat in still water and the speed of the current? Current speed: y Boat speed: x 2 3 Elimination Method Boat speed: 8 mph Current speed: 2 mph

4. 4.3 - Applications One solution contains 20% acid and a second solution contains 50% acid. How many ounces of each solution should be mixed in order to have sixty ounces of a 30% solution? x 0.2x 0.2 y 0.5 0.5y 60 (60)(0.3) 0.3

5. 4.3 - Applications One solution contains 20% acid and a second solutions contains 50% acid. How many ounces of each solution should be mixed in order to have sixty ounces of a 30% solution? Elimination Method

6. 4.3 - Applications For a particular show the price of an adult ticket is \$2.00 and a child's ticket is \$1.50. A total of 300 tickets were sold for \$525. How many adult and children’s tickets were sold? A 2A \$2.00 C \$1.50 1.5B 300 \$525 Elimination Method 150 Adult tickets 150 Children’s tickets

7. 4.3 - Applications The value of 12 coins is \$1.20. The coin are nickels, dimes and quarters. The number of dimes is two more than twice the number of nickels. How many nickels, dimes and quarters are there? Elimination Method nickels dimes quarter

8. 4.5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

9. 4.5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

10. 4.5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

11. 4.5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.

12. 4.5 – Systems of Linear Inequalities Graphing Inequalities in Two Variables Graph the solution.