Answer:
Step-by-step explanation:
a) 3 - 4x = -7 - 4x
- 4x in both terms can be cancelled
3 = -7 ⇒ equation with no solution
b) 15 - 2x = -7x
15 = -5x
-3 = x
x = -3
c) 7 (y - 3) = 6y - 21
7y - 21 = 6y - 21
7y - 6y = -21 + 21
y = 0
1) Equation with no solution:
3x + 5 = 12 + 3x
there is no x that conforms that equation because the result is always 5 = 12, which is inconsistent
2) Equation with one solution
2y -5 = 7 ⇒ y = 12/2 ⇒ y = 6
3) Equation with infinite solutions
x - 10 = x - 3 - 7
Any value of x complies with this equation
