Question

Arrange the steps to solve this system of linear equations in the correct sequence. Screenshot included. (Please help)

x+y=-2

2x-3y=-9

Answer 1

The answer to the question

Answer 2

Explanation:

Given the system of linear equation

x+y=-2... 1

2x-3y=-9... 2

The following steps are to be followed to get the x variable.

Step 1:

First we need to eliminate one out of the two variables.

To do this:

Multiply the first equation by 3 to have

3(x+y) = 3(-2)

3x+3y = -6

Step 2:

Add 3x+3y = -6 obtained in step 1. to equation 2 given (2x-3y=-9) and solve for x

Adding up we have:

5x = -6+(-9)

5x = -15

x = -15/5

x = -3

Step 3:

Substitute the value of x into the first equation (x+y = -2) to get y = 1

-3+y = -2

y = -2+3

y = 1

Step 4:

The solution to the system of equation is (-3,1)