21.Faith solves the equation 3(7x+4)=21x+4.
How many solutions does she find?
A. Infinitely many solutions
B. 2 solutions
C. 1 solution
D. 0 solutions
since you end up with
12 = 4 , which is false, there is no solution
To determine how many solutions Faith finds for the given equation, let's solve the equation step-by-step:
3(7x + 4) = 21x + 4
First, distribute the 3 to each term inside the parenthesis:
21x + 12 = 21x + 4
Next, simplify the equation by subtracting 21x from both sides:
12 = 4
Since 12 does not equal 4, we have obtained a contradiction. This means that the equation has no solutions.
Therefore, the correct answer is D. 0 solutions.