A set of equations is given below:


Equation A: c = 2d + 1

Equation B: c = 3d + 5


Which of the following is a step that can be used to find the solution to the set of equations?



2d + 1 = 3d + 5

2d = 3d + 5

2d + 1 = 3d

2d + 5 = 3d + 1

Verified Answer :

2d+1=3d+5.
If both equations equal c, then both equations can be equal to each other.

Answer:

The correct option is 1.

Step-by-step explanation:

The given set of equations is

Equation A: c = 2d + 1

Equation B: c = 3d + 5

Using equation A and equation B, equate the value of c.

\(2d+1=3d+5\)

\(1-5=3d-2d\)

\(-4=d\)

The value of d is -4. So the value of c is

\(c=2d+1=2(-4)+1=-7\)

The equation 2d+1=3d+5 is used to find the solution to the set of equations, therefore the correct option is 1.