Question

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 ​

Answer 1

Answer:

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

Answer 2

Answer:

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