In Exercises 1–12, solve each system by the method of your
choice.
To solve the system of linear equations by any method.
Answer to Problem 1MCCP
Solution:
Explanation of Solution
Given:
Rewrite the first equation in standard form to obtain the following system:
Add both the equation to obtain,
Put the value of
Hence,
Conclusion: So
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Chapter 5 Solutions
COLLEGE ALGEBRA
- An important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Exercises 97–98 involve supply and demand. 97. A chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows: Number sold Demand model per week N = -5p + 750 Price of television Number supplied to the chain per week N = 2.5p. 1apow hjddns a. How many hand-held color televisions can be sold and supplied at $120 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?arrow_forwardIn Exercises 15–16, solve each system by eliminating variables using the addition method. 15. [3x + 12y = 25 |2r - 6y = 12 x + 3y -x + 2y + 3z 2х - 5у — г 16. 5 13 -8arrow_forward1–18, use the elimination-by-addition method to solve each system. (3x - 2y=5) (2x + 5y=-3)arrow_forward
- SOLVE THE FOLLOWİNG SYSTEM OF DİFFERENSIAL EQUATİONarrow_forwardFor Exercises 15–22, solve the system by using the addition method. (See Examples 3-4) 15. 2x + 3y = 11 16. 3x + y² = 21 17. x - xy = 20 18. 4xy + 3y² = -9 2 + 4y = 8 4x - 2y = -2 -2x2 + 3xy = -44 2xy + y = -5 21. x = 1- y 9x - 4y? = 36 19. 5x - 2y2 = 1 20. 6x + 5y = 38 7x - 3y = 9 22. 4x = 4 - y? 16y = 144 + 9x? 2x - 3y = -4arrow_forwardIn Problems 19–56, solve each system of equations. If the system has no solution, say that it is inconsistent. For Problems 19–30, graphthe lines of the systemarrow_forward