How many solutions does this system have?
y = 5x + 6
y – 5x = 7

A. no solutions
B. 1 solution
C. 2 solutions
D. infinitely many solutions

Respuesta :

Answer:

No Solutions

Step-by-step explanation:

The two lines never intersect

Answer:

A

Step-by-step explanation:

y = 5x + 6 → (1)

y - 5x = 7 ( add 5x to both sides )

y = 5x + 7 → (2)

Substitute y = 5x + 7 into (1)

5x + 7 = 5x + 6 ( subtract 7 from both sides )

5x = 5x - 1 ( subtract 5x from both sides )

0 = - 1 ← is False

This indicates the system has no solution