Consider the following system of equations. 23 - y = 12
-3.3 - 5y = -5
The steps for solving the given system of equations are shown below.
Step 1: -5/25 - y) = -5(12)
-3.5 - 5y = -5
Step 2:
-101 + 5y = -60
-3.1 - 5y = -5
Step 3:
-13.5 = -65
Step 4:
= 5
Step 5:
2(5) - y = 12
Step 6:
y = -2
Solution: (5,-2)
Select the correct statement about step 3.
OA. When the equation-3x - 5y=-5 is subtracted from -10x+ 5y = -60, a third linear equation, -13x=-65, is formed, and it shares a
common solution with the original equations.
B. When the equations -10x+ 5y = -60 and -3x - 5y=-5 are added together, a third linear equation, -13x = -65, is formed, and it
has a different solution from the original equations.
OC. When the equations - 10x + 5y = -60 and -3x - 5y=-5 are added together, a third linear equation, -13x = -65, is formed, and it
shares a common solution with the original equations.
D. When the equation -3x - 5y=-5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a
different solution from the original equations.