2(4m+6)=8m+6
8m+12=8m+6
-6= -6
_________
8m+6= 8m
-8m. =-8m
__________
6=m
I think in doing something wrong just not to sure when I check both sides give me different answer can someone explain please
8m+12=8m+6
8m-8m=6-12
0 does not equal -6, therefore no solution
2(4m + 6) = 8m + 6
8m + 12 = 8m + 6
Note that from here, we can see that there is no solution. The 8m will be cancelled from both sides, and we are left with
12 = 6
which is impossible. Thus, there is no solution, or there is no value of m that can satisfy the equation.
Hope this helps~ :3
Thank you.
It seems like you have made a mistake in your steps. Let's go through the problem again to find the correct solution.
Starting with the original equation:
2(4m + 6) = 8m + 6
To solve this equation, we need to distribute the 2 to both terms inside the parentheses:
8m + 12 = 8m + 6
Now, let's simplify the equation further. We can subtract 8m from both sides of the equation:
8m - 8m + 12 = 8m - 8m + 6
12 = 6
Uh oh! We have arrived at an incorrect statement. This means that there was a mistake made during the simplification process.
Upon reviewing your steps, it appears that you subtracted 6 from both sides of the equation:
8m + 6 = 8m
However, it is important to note that when we subtract or add the same value to both sides of an equation, the equation itself does not change.
In this case, you subtracted 6 from both sides, which made the equation incorrectly become 8m = 8m. This leads to an incorrect solution.
To correctly solve the equation, let's retrace our steps starting from the equation 8m + 12 = 8m + 6:
8m + 12 = 8m + 6
Let's subtract 8m from both sides of the equation:
8m - 8m + 12 = 8m - 8m + 6
12 = 6
Since the equation 12 = 6 is not true, it means that there is no value of 'm' that satisfies the original equation.
In summary, the original equation has no solution. The mistake you made was incorrectly simplifying the equation, which led to an incorrect result. It's important to carefully follow each step and avoid cancelling out terms on both sides of the equation unless they are exactly the same.