The correct solution are;
⇒ 3x + 9 = - 4.5x + 20
It is true for one value of x.
⇒ 9 (x + 3) = 9x + 12
It is not true for any value of x.
⇒ 4 (2x + 3) = 12 + 8x
It is true for all value of x.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are,
⇒ 3x + 9 = - 4.5x + 20
⇒ 9 (x + 3) = 9x + 12
⇒ 4 (2x + 3) = 12 + 8x
Now,
Solve the expressions for the value of x as;
1. ⇒ 3x + 9 = - 4.5x + 20
Solve as;
⇒ 3x + 4.5x = - 9 + 20
⇒ 7.5x = 11
⇒ x = 11/7.5
⇒ x = 1.47
Thus, It is true for one value.
2. ⇒ 9 (x + 3) = 9x + 12
Solve as;
⇒ 9x + 27 = 9x + 12
⇒ 27 ≠ 12
Thus, It has no solution.
3. ⇒ 4 (2x + 3) = 12 + 8x
Solve as;
⇒ 4 (2x + 3) = 12 + 8x
⇒ 8x + 12 = 12 + 8x
⇒ 8x - 8x = 12 - 12
⇒ 0 = 0
Thus, It has Infinite solution.
Therefore, The correct solution are;
⇒ 3x + 9 = - 4.5x + 20
It is true for one value of x.
⇒ 9 (x + 3) = 9x + 12
It is not true for any value of x.
⇒ 4 (2x + 3) = 12 + 8x
It is true for all value of x.
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