My issue is solving 3 systems of variables that are missing a variable in each equation.
My 3 systems are:
3p + 2r = 11, (1)
q - 7r = 4, (2)
p - q = 1 (3)
What I'm seeing is - that there's no q in equation (1). That means that q has been eliminated from one equation. Since I need another equation with q eliminated, I wanted to use equations (2) and (3) to eliminate q.
With that said, I proceeded with:
Multiplied equation (2) by 1 and added it to equation (3)
q - 7r = 4
p - q =1
p - 7r = 5 (4)
Next, I multiplied equation (4) by - 3 and added it to equation (1)
3p + 2r = 11
-3p + 21r = -15
23r = -4
r = -4/23 (fraction)
Whenever, I get fraction that confuses me as to how to solve for the other variables. I plugged -4/23 back into equation (1) to solve for p and got an improper fraction. Is this correct? Or, can someone provide some assistance with how I should've proceeded in the first place? I'm missing something here and I'm not sure how I should proceed? Please help. TIA...