Question

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

Answer 1

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

Answer 2

The correct option is 1.

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.