Amy is thinking of a number that is 2 times the value of jake's number.Amys number is also 2 more than 3 times the value of jake's number.What is amys number? Write and solve a system of equations to answer the question.
A.4
B.2
C-2
D.-4

Respuesta :

Answer:

D

Step-by-step explanation:

Amy's number: a

Jake's number: j

a = 2j

a = 2 + 3j

2j = 2 + 3j

j = -2

a = 2j = 2(-2) = -4

By solving a system of equations, we will see that Amy's number is -4.

How to find the system of equations?

First, we define the variables:

  • A = Amy's number.
  • J = Jake's number.

From the text, we know that:

A = 2*J

A = 2 + 3*J

This is the system of equations we need to solve.

To do it, we can write:

2*J = 2 + 3*J

Now we solve this for J

-2 = 3*J - 2*J = J

Then Jake's number is -2

And Amy's number is:

A = 2*J = 2*(-2) = -4

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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