Question

Janelle has to solve this system of equations:

3x+5y=7
3x+5y=-4

She says, "I can tell just by looking that this system will have no solutions." What does she mean? How can she tell?

Answer 1

Explanation:

Subtract equation 2 from equation 1:

3x + 5y = 7

-(3x + 5y) =-( -4)

0 + 0 = 13

0 ≠ 13 No Solution

Answer 2

Explanation:

The slopes of the lines are the same....so they are parallel and do not intersect.....so no solutions

slope = -3/5 for both lines