Infinitely many solutions exist for the given equation.
Option D. infinity many.
How do you know how many solutions an equation has?
Solving the equation produces a statement that fits a single value for a variable like this: B. If x = 3, the equation has a solution. If solving an equation yields a statement that is always true, such as 3 = 3, then the equation has an infinite number of solutions.
The linear equations for the two variables are of the form ax + by + c = 0. Where a, b, c ∈ R, a, and b ≠ 0. Considering the system of linear equations, we can find the following numbers: A solution by comparing the coefficients of the variables in the equation.
12x + 1 = 3(4x + 1) - 2
12x + 1 = 12x + 3 - 2
12x + 1 = 12x + 1
Both sides are equal for all x, so infinite solutions.
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