Respuesta :
Answer:
infinite number of solutions
Step-by-step explanation:
Given
6x + 12 = 2(3x + 6) ← distribute
6x + 12 = 6x + 12
Since expressions on both sides are the same then any value of x will be a solution to the equation. Thus there are an infinite number of solutions.
The solutions of the equation comprises of any value which x can take.
According to the question;
- Kaylee writes the equation 6x+12=2 (3x+6)
- We are required to find the number of solutions this equation has without solving for x.
By expansion of the parenthesis on the right-hand side of the equation; we have;
- 6x+12=2 (3x+6)
- 6x + 12 = 6x + 12.
Since, the right-hand side and left-hand side of the equation are equal;
Ultimately, the solutions of the equation comprises of any value of x.
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