Answer:
2a. One Solution
2b. Infinite Solutions
2c. No Solution
Explanation:
In all the problems club terms with x on one side and the constants on the other side.
2a. 6x + 4x - 6 = 24 + 9x
⇒ 10x - 6 = 24 + 9x
Subtracting 9x and adding 6 on both sides;
⇒ 10x - 9x = 24 + 6
⇒ x = 30
The only possible value of x that could satisfy the equation is 30. So, there is only one possible solution to the equation.
2b. 25 - 4x = 15 - 3x + 10 - x
Clubbing like terms;
25 - 15 - 10 = 4x - 3x - x
⇒ 25 - 25 = 4x - 4x
⇒ 0 = 0
Note that any value of 'x' could satisfy this equation. So, there are infinite solutions to the equation.
2c. 4x + 8 = 2x + 7 + 2x - 20
⇒ 4x - 2x - 2x = - 20 + 7 + 8
⇒ 4x - 4x = -5
⇒ 0 = -5
This is absurd. No value of 'x' can satisfy this. So, there are no solutions to this equation.