How many solutions does the system have y=2x-1 y=2x+6

no solutions

Step-by-step explanation:

Given the 2 equations

y = 2x - 1 → (1)

y = 2x + 6 → (2)

Substitute y = 2x - 1 into (2)

2x - 1 = 2x + 6 (subtract 2x from both sides)

2x - 2x - 1 = 6 (add 1 to both sides)

0 = 7 ← not possible

Thus the system has no solution