Question

How many solutions does the following system have?
y= 5x + 8
y = 5x + 3

Answer 1

This system has no solutions.

Explanation:

If we try to solve:

1. 5x + 8 = 5x + 3
2. 5x + 8 - 3 = 5x
3. 5x + 5 = 5x
4. 5x - 5x + 5 = 5x - 5x
5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!