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Algebra: Elimination and Substitution Methods

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1. Solve the following system of equations using the Substitution method:
5X-7Y= - 18
4X+3Y= 20

2. Solve the following system of equations using the elimination method:
Solution: Computation of the Equations
2X-3Y =12
-2X+3Y =12

3. A total of $80,000 is invested in two funds paying 2.3% and 3.1 % simple interest. The total annual interest is $2000. How much is invested in each fund?

4. Find the point of equilibrium for a system that has a demand equation of p=49-0.0003X and a supply equation of p=33+0.00002X

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