Question

1.)How many solutions are there to the following system of equations ?
2x+6y=-12
10x+32y=-62

0
2
1
infinitely many

2.) Solve the following system of equations by linear combination:
2d+e=8
d-e=4

The solution is (5,-2).
The solution is (4,0).
There is no solution.
There are an infinite number of solutions.

Answer 1

1) 1 solution because det(coefficient matrix ) !=0
2. solution is (4,0) by plugging in

Answer 2

Thank you.

Answer 3

These are two lines, not parallel (different slopes),so one intersection=solution.