Question

Which of the following equations have the same solution? Explain each step in solving each equation using complete sentences.

I.2x + 4 = 3x - 11
II. 3x + 3 = 51
III. 2x+1/3=x+6/2

Answer 1

andy ideas @texaschic101 ?

Answer 2

Equation 1
2x + 4 = 3x - 11
subtract 3x from both sides
2x - 3x + 4 = -11
subtract 4 from both sides
2x - 3x = -11 - 4
combine like terms
-x = - 15
multiply by -1 to make x positive
x = 15

Equation 2
3x + 3 = 51
subtract 3 from both sides
3x = 51 - 3
3x = 48
divide by 3
x = 16

Equation 3
2x + 1/3 = x + 6/2
subtract x from both sides
2x - x + 1/3 = 6/2
subtract 1/3 from both sides
2x - x = 6/2 - 1/3
common denominator is 6
x = 18/6 - 2/6
x = 16/6 reduces to 8/3

I am not getting the same solution on any of them

Answer 3

Equation 3
(2x + 1)/3 = (x + 6)/2
cross multiply
3(x + 6) = 2(2x + 1)
distribute through the parenthesis
3x + 18 = 4x + 2
subtract 4x from both sides
3x - 4x + 18 = 2
subtract 18 from both sides
3x - 4x = 2 - 18
-x = -16
multiply by -1 to make x positive
x = 16

I found it now...the 2 equations that have the same solution are equation 2 and 3.

Answer 4

thank you!! you helped a lot I have another one im gonna post if you could help me with it aswell?
cx