Originally Posted by

**LamiaCat** I just don't understand these last 3 problems. -.-

Can anyone help me? Please? Steps to solving would be appreciated so I can figure these out in the future!

1. How many solutions are there to the following system of equations?

2x + 5y = -11

10x + 25y = -55

Answers:

a. 0

b. 1

c. 2

d. infinitely many (I think this is the answer?) Yes - multiply eq1 by 5

2. How many solutions are there to the following system of equations?

5x + 3y = 7

2x - y = 2

Answers:

a. 0

b. 1 Solve the second for y and substitute into the first

c. 2

d. infinitely many.

3. Solve the following system of equations by linear combination:

2d + e = 8

d - e = 4

Answers:

a. solution is (5,-2)

b. solution is (4,0) Add the two equations together

c. no solution

d. infinite number of solutions.