solving a system of equations
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Solving A System of Equations
Melissa and JesusDecember 18, 2013
7-8A
Problem SituationA store receives a shipment of VCR’s and CD players. A shipment of 5 VCR’s and 4 CD players cost $1950. A shipment of 3 VCR’s and 6 CD players costs $2250. Find the cost of a VCR and the cost of a CD player.
Define VariablesM= cost of CD players J= cost of VCRs
System of Equations
5J + 4M = 19503J + 6M = 2250
Solution MethodWe are going to guess and check to find the solution.
Steps of SolutionWe started guessing with 100 for J.5 * 150 + 4 * 300=19503 * 150 + 6 * 300=2250
Solution to the System of Equations
(150, 300)
Check of Solution5 * 150 + 4 * 300=1950 ☺3 * 150 + 6 * 300=2250 ☺
Solution in the Problem Situation$150 is the cost of one of the VCRs and $300 is the cost of one of the CD
players..
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