Which is the best first step and explanation for solving this system of equations?

2x + 3y = 7

2x = 4y - 5

A) subtract the second equation from the first equation

B) add the two equations to one another

C) Multiply both sides of the first equation by 3

D) Subtract an equal amount from both sides of the first equation

A) subtract the second equation from the first equation

Step-by-step explanation:

Let's consider the following system of equations.

2x + 3y = 7

2x = 4y - 5

If we subtract the second equation from the first equation, we get:

2x + 3y - 2x = 7 - (4y - 5)

3y = 7 - 4y + 5

7y = 12

y = 12/7

Then, we can use any of the original equations and solve for x.

2x = 4y - 5

2x = 4 (12/7) - 5

x = 13/14

A) subtract the second equation from the first equation

Step-by-step explanation:

2x + 3y = 7

2x - 4y = - 5

subtracting the second equation from the first equation we get,

7y = 12

y=12/7

This is the correct option