Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, X, and the number of cookies, y, that Abigail bought.

Number of cupcakes = 2

Number of cookies = 5

Step-by-step explanation:

Let denotes the number of cupcakes and denotes the number of cookies.

Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.

At

At

So, plot the points

Also,

Abigail bought a total of 7 cupcakes and cookies altogether.

At

At

So, plot points

From the graph, solution is

Number of cupcakes = 2

Number of cookies = 5

no this is a nonlinear negative

the line of