What is the first step in solving this system of equations by elimination?
2x – 2y = 5
5x + 2y = 9
a. subtract the two equations.
b. add the two equations.
c. solve for y.
d. multiply each equation by 2. select the best answer from the choices provided

B. Add the two equations.

Step-by-step explanation:

Lets solve our system of equations step-by-step

Step 1. Add the two equations

2x – 2y = 5 +

5x + 2y = 9

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7x         = 14

Step 2. Solve for x in the resulting equation

7x = 14

x = 2

Step 3. Replace the value of x in any of the original equations

2x – 2y = 5

2(2) – 2y = 5

4 – 2y = 5

-2y = 5 - 4

-2y = 1

We can conclude that the correct answer is: B. Add the two equations.