[tex]-\frac{1}{3}m+2 = -1 =>NO\\-2(-4m-6.4) = 44.8 => YES\\8m-5-2m +1 = 20 =>YES\\7m+6 = 9m-2 => YES[/tex]
Step-by-step explanation:
First of all, we will find the solution of the given equation
So,
Given equation is:
[tex]3m = 36-6m[/tex]
Adding 6m on both sides
[tex]3m+6m = 36-6m+6m\\9m = 36[/tex]
Dividing both sides by 9
[tex]\frac{9m}{9} = \frac{36}{9}\\m = 4[/tex]
In order to check, if the solution is the solution of given options, we will put the solution in the equation, if both sides of equations are equal then the solution belongs to the equation.
So,
For [tex]-\frac{1}{3}m+2 = -1[/tex]
Putting m=4
[tex]\frac{-1}{3}(4)+2 = -1\\\frac{-4}{3}+2 = -1\\\frac{-4+6}{3} = -1\\-\frac{2}{3} \neq -1[/tex]
For [tex]-2(-4m-6.4) = 44.8[/tex]
Putting m=4
[tex]-2[-4(4)-6.4]=44.8\\-2(-16-6.4) = 44.8\\-2(-22.4) = 44.8\\44.8 = 44.8[/tex]
For [tex]8m-5-2m +1 = 20[/tex]
Putting m=4
[tex]8m-5-2m +1 = 20\\6m-4 = 20\\6(4) -4 = 20\\24-4 = 20\\20 = 20[/tex]
for [tex]7m+6 = 9m-2[/tex]
Putting m = 4
[tex]7(4) +6 = 9(4) - 2\\28+6 =36-2\\34=34[/tex]
Keywords: Equations, linear equation
Learn more about linear equation at:
- brainly.com/question/9533500
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