9. Consider this system of equations, which has ane solution:
Here are some equivalent systems. Each one is a step in solving the original system.
Step 1:
Step 2:
Step 3:
{ax +
{ar:
7x+7y=630
0.Ix+7y= 78
2x+2y=180
0.Ix+7y= 78
6.9x=552
0.Ix+7y= 78
a. Look at the original system and the system in Step 1.
i. What was done to the original system to get the system in Step 12
b. Look at the system in Step 1 and the system in Step 2.
x=80
Q.Ex+7y=78
ii. Explain why the system in Step 1 shares a solution with the original
system.
What was done to the system in Step 1 to get the system in Step 22
c. What is the solution to the original system?
i. Explain why the system in Step 2 shares a solution with that in Step 1.