Answer:
Step-by-step 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)
