I need help Can please show the process to the answer Lay15S

I need help! Can please show the process to the answer

Lay1.5SolutionSets: Problem 6 Previous Problem List Next (3 points) Determine whether the following system has no solution, an infinite number of solutions or a unique solution. Select Answer v 1. 4a +6y 15 Select Answer No Solution 3y Infinite Solutions Unique Solution 4a 6y 21y 17 20a +10y 20 Select Answer v 3. 8r +4y -8 28r +14 -28

Solution

1. no solution,

write in augmented matrix and convert in cannonical form.

final matrix would be

1 -3/5 -1

0 1    25/42

0 0   10/7

rhs is not zero while lhs is 0. so no solution

2.

unique solution as last row is 0. it iples we have basically 2 equation independent of each other.

3. infinite solution as all 3 equation are same.