how many solutions exist for the given equation?\n12x + 1 = 3(4x + 1) - 2\nzero\none\ntwo\ninfinitely many
how many solutions exist for the given equation?\n12x + 1 = 3(4x + 1) - 2\nzero\none\ntwo\ninfinitely many
Answer
Explanation:
Step1: Expand the right - hand side
Expand (3(4x + 1)-2) using the distributive property (a(b + c)=ab+ac). (3(4x + 1)-2=3\times4x+3\times1 - 2=12x+3 - 2=12x + 1)
Step2: Compare the two sides of the equation
The original equation (12x + 1=3(4x + 1)-2) becomes (12x+1 = 12x+1) after expansion. Subtract (12x) from both sides: ((12x - 12x)+1=(12x - 12x)+1), which simplifies to (1 = 1)
Answer:
infinitely many