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. 2x+1 all over3 = x+6 all over 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. 2x+1 all over3 = x+6 all over 2

anonymous · Answer

@ajprincess

anonymous · Answer

@ybarrap  please I don't understand

ybarrap · Answer

I.
2x + 4 = 3x - 11
2x-3x+4=3x - 11 -3x
2x + -3x+4 = - 11
-x+4 = - 11
-x+4 -4= - 11-4
-x=-15
x=15

Check: 2(15) + 4=34
           3(15) - 11 = 45 - 11 = 34

II.
3x + 3 = 51
Subtract 3 from both sides and divide by 3

III.
2x+1 all over3 = x+6 all over 2

(2x + 1) / 3 = (x + 6) / 2

multiply both sides by 6 to get rid of the 3 and the 2 in the denominators

(2x + 1) * 2 = (x + 6) *3

4x + 2 = 3x + 18

Subtract 2 from both sides. Subtract 3x from both sides.

That's it, see which solutions match.