Which of the following equations have the same solution? Solve all three equations separately and explain each step.

I. 2x + 4 = 3x – 11
II. 3x + 3 = 51
III. the quantity of 2x plus 1, divided by 3 equals the quantity of x plus 6, divided by 2

Question

Which of the following equations have the same solution? Solve all three equations separately and explain each step.

I. 2x + 4 = 3x – 11
II. 3x + 3 = 51
III. the quantity of 2x plus 1, divided by 3 equals the quantity of x plus 6, divided by 2

anonymous · Answer

@helpme1.2

anonymous · Answer

solve for the x for each one of them

anonymous · Answer

2x+4 = 3x-11 combine like terms 
15 = x -- answer 

3x+3=51 --subtract 3 
3x = 48 -- divide 3
x=16 -- answer 

2x+1/3=x+6/2 -- cross multiply 
2(2x+1) = (x+6)3 -- distribute the 3 and 2 
4x+2 = 3x+18 -- combine like terms 
x = 16  -- answer