Which system of equations models the problem if x represents the number of angelfish Nancy bought and y represents the number of goldfish she bought?

Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish. How many of each type of fish did she buy?

{x+y=360y=8x
{x+y=8y=360x
{x−y=360y=8x
{x+8y=360y=8x

Respuesta :

Let x be the number of goldfish and y be the number of angelfish 
x+y = 360 
y = 8x 
x + y = 360 y = 8x 

Have an amazing day :) 

The system of equations is x+ y = 360, y = 8x, which represents that Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as the angelfish option, the first is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

x represents the number of angelfish Nancy bought and

y represents the number of goldfish she bought

From the problem:

x+ y = 360

y = 8x

Thus, the system of equations is x+ y = 360, y = 8x, which represents that Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as the angelfish option, the first is correct.

Learn more about the linear equation here:

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