Arrange the steps to solve this system of linear equations in the correct sequence.

x + y = -2
2x – 3y = -9

a. subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.

b) substitute the value of x in the first equation (x + y = -2) to get y = 1.

c) the solution for the system of equations is (-3, 1).

d) x = -15

e) the solution for the system of equations is (-15, 13).

f) add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.

g) x = -3

h) substitute the value of x in the first equation (x + y = -2) to get y = 13.

j) multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

basically put them in order. ?

The answer is given below.

Step-by-step explanation:  The given system of linear equations is :

Multiplying equation (i) by 3, we have

Adding equations (ii) and (iii), we get

Substituting the value of 'x' in equation (i), we get

Thus, the solution set is (-3, 1).

Therefore, the correct steps in ascending order to solve the above system of equations are given below:

Step 1: (J) Multiply the first equation by 3: 3(x + y) = 3(-2) ⇒ 3x + 3y = -6.

Step 2: (F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.

Step 3: (G) x = -3.

Step 4: (B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.  

Step 5:  (C) The solution for the system of equations is (-3, 1).