Answer:
No, this equation cannot be solved.
Step-by-step explanation:
Let's try to solve it.
12x + 10 = 4( 3x + 3 ) Use distributive property
12x + 10 = 12x + 12 Isolate variables from constants (have no variables)
12x + 10 - 10 = 12x + 12 - 10 Subtract 10 form both sides
12x = 12x + 2 Subtract 12x from both sides
12x - 12x = 12x - 12x + 2
0 = 2 Impossible
This statement is false. Therefore, this equation cannot be solved.
*If you've learned linear graphs, this idea may help you:
The expressions on each side are 12x + 10 and 12x + 12 (after expanded).
A linear graph is y = mx + b, where "m" represents the slope. If two lines have the same slope, they will never meet, and cannot be solved. In this case, "m" is 12 for both of them.
