Question

Look at these systems of equations. Tell whether the system will have No Solution, OneSolution, or Infinite Solutions. Explain each type of solution.a. 3x+y=16x+2y=1b. y=2x-10y+3x=5c.2x+y=26x+3y=6

Answer 1

a.

3x+y=1

6x+2y= 1

Multiply the first equation by 2:

6x+2y=2

Then subtract the first equation to the second

6x+2y=1

-

6x+2y=2

________

0 = -1

Since 0 is not equal to -1, and the variables were eliminated. I t will have no solution