Cell phone company a charges $20 per month plus $0.05 per text message. cell phone company b charges $10 per month plus 0.07 per text message. is there any number of text messages that will result in the exact same charge from both companies?

Yes, 500 texts.

Step-by-step explanation:

If you write out the equations, you can just set them up equal to each other and simplify.

A = .05x + 20

B = .07x + 10

.05x + 20 = .07x + 10  (subtract 10 from both sides)

.05x + 10 = .07x  (subtract .05x from both sides)

10 = .02x  (multiply both sides by 50

x = 500 texts