SMC MATH 21 - Finite Math section 2.1 Systems of 2 Linear Equations

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Finite Mathsection 2.1 Systems of 2 Linear EquationsEx1, Solve the system of equations x + y = 3x + 2 y = 5š (a) by graphing (b) by elimination (substitution or addition methods)Ex2, 3x + 5y = 12x y = 8šEx3, + 3y = 6 + =šx3x43y 7Ex4, + 0 25y = 6+ = šx5y2..1 2x 5Ex5, (inconsistent system)y = 2x + 44x +2y = 1šEx6, (dependent system)y = 2x + 44x +2y = 8šEx7, (equilibrium price) p = 2.2x + 250 (demand equation, lower price leads to higher demand)p =1.8x + 50 (supply equation, higher price leads tšo higher supply) Find the equilibrium price.Ex8, How many gallons of 10% alcohol must be mixed with 12 gallons of 4% alcohol to produce 8% alcohol solution?Ex9, We have 24 gallons of 10% lemonade. How much of (a) 16% lemonade must be added to produce 13% lemonade? (b) pure lemon juice must be added to produce 40% lemonade? (c) pure water must be added to produce 6% lemonade?Ex10, Jessie has a total of 36 coins of dimes and nickels. Total value is $2.35. How many of each kind of coins does he have?Ex11, A principle of $12,000 was invested into 2 accounts. One account was invested in muni bonds which generated 6% interest. The other account was invested in utility stocks which generated 10% interest. The total interest amount from the 2 accounts was $850. How much was invested in each account?Ex12, Cashew Nuts cost $4.20 per pound. Almonds cost $3 per pound. Ruth bought a total of 24 pounds of cashew nuts and almonds. She paid $91.20. How many pounds of cashew nuts and how many pounds of almonds did she buy?Ex13, At a small local theater, a movie ticket for an adult costs $9 and a child ticket costs $5. On one evening, $2810 worth of tickets was sold. The number of adult tickets sold was 110 more than the number of child


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