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Sagot :
The cost of one dog in a pet supply store in Redwood City is $9.95 and the cost of one leash is $13.5.
What is a system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
A pet supply store in Redwood City sells three dog collars and two leashes for $56.85. Let the selling price of dog is x dollars and leashes is y dollars. Thus,
[tex]3x+2y=56.85[/tex]
Solve this equation further for x,
[tex]3x+2y=56.85\\3x=56.85-2y\\x=\dfrac{56.85-2y}{3}[/tex] ......1
It sells one collar and three leashes cost $50.45. Thus,
[tex]x+3y=50.45[/tex]
Put the value of x from equation 1 to above equation,
[tex]\dfrac{56.85-2y}{3}+3y=50.45\\\dfrac{56.85-2y+9y}{3}=50.45\\{56.85-2y+9y}=50.45\times3\\7y=151.35-56.85\\y=\dfrac{94.5}{7}\\y=13.5[/tex]
Put the value of y in equation 1,
[tex]x=\dfrac{56.85-2(13.5)}{3}\\x=9.95[/tex]
Thus, the cost of one dog in a pet supply store in Redwood City is $9.95 and the cost of one leash is $13.5.
Learn more about the system of equations here;
https://brainly.com/question/13729904
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