Question

A set of equations is given below:

Equation E: c = 2d + 1
Equation F: c = 3d + 7

Which statement describes a step that can be used to find the solution to the set of equations?

Equation F can be written as c = 3(c − 1) + 7.
Equation F can be written as c = 2(c − 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.

Answer 1

What are your thoughts so far?

Answer 2

idk i am confused

Answer 3

Equation F starts off as c = 3d + 7

We can replace c with 2d + 1 because of equation E
In other words, equation E says that c and 2d+1 are the same thing. This is why such a replacement is valid.

Answer 4

?

Answer 5

so what would it be?

Answer 6

so what answer choice would it be

Answer 7

Equation F starts off as c = 3d + 7

After replacing c with 2d+1, we end up with 2d+1 = 3d+7