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Instructions: Find the solution for each of the linear equations. Once you have finished the activity, scan it and send it through the Virtual Platform. a) 3x-8 +3= -3x -1 b) 2/3 m+4 - 2m = 1/2-1/3 m c) 3a – 18 a + 3 = -5 +a d) (a+3)/2= (3a - 7)/3 e) 3(n+3) = 2n (3 - 1 ) Send it through the Virtual Platform. Remember that the file must be named: Last Name_First Name_E_Linear_equations_with_one_unknown

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Answer to a math question Instructions: Find the solution for each of the linear equations. Once you have finished the activity, scan it and send it through the Virtual Platform. a) 3x-8 +3= -3x -1 b) 2/3 m+4 - 2m = 1/2-1/3 m c) 3a – 18 a + 3 = -5 +a d) (a+3)/2= (3a - 7)/3 e) 3(n+3) = 2n (3 - 1 ) Send it through the Virtual Platform. Remember that the file must be named: Last Name_First Name_E_Linear_equations_with_one_unknown

Expert avatar
Brice
4.8
108 Answers
a)

3x - 8 + 3 = -3x - 1

Combine like terms:

3x - 5 = -3x - 1

Add $3x$ to both sides:

6x - 5 = -1

Add $5$ to both sides:

6x = 4

Divide by $6$:

x = \frac{4}{6} = \frac{2}{3}

b)

\frac{2}{3}m + 4 - 2m = \frac{1}{2} - \frac{1}{3}m

Combine like terms:

-\frac{4}{3}m+4=\frac{1}{2}-\frac{1}{3}m

Subtract $4$ from both sides:

-\frac{4}{3}m+\frac{1}{3}m=\frac{1}{2}-4

Convert $4$ to fraction:

-m=\frac{1}{2}-\frac{8}{2}

Simplify:

-m=-\frac{7}{2}

m=\frac{7}{2}

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