Carlos bought a total of 405 fish for a museum display. he bought parrotfish and angelfish. he bought 8 times as many parrotfish as angelfish. let the variable x represent the number of angelfish carlos bought and the variable y represent the number of parrotfish he bought. use a system of equations to model and solve this situation. what is the solution to the system of equations? (60, 345) (45, 360) (55, 350) (35, 370)

Solution to the system of equations is

An equation is said to be linear equation in two variables if it is written in the form of , where are real numbers and the coefficients are not equal to zero.

Let the variable represent the number of angelfish Carlos bought and the variable represent the number of parrotfish he bought.

Carlos bought times as many parrotfish as angelfish.

Carlos bought a total of 405 fish for a museum display.

Put

So,

Solution to the system of equations is

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x+y=405

x=8y

plug it into the first equation

8y+y=405

9y=405

y=45

now we can plug it back into x+y=405

x+45=405

x=360

The answer is (45, 360)