Question

Liliana solved the equation below. When she tried to verify her answer, she realized she made an error. One-third (x + 18) = 7 One-third x + 6 = 7 One-third x + 6 minus 6 = 7 + 6 One-third x = 1 x = 3 Which correction should Liliana make? The first step should be One-third x + 54 = 7. The second step should be One-third x + 6 minus 6 = 7 minus 6. The third step should be One-third x = 13. The final step should be x = one-third.

Answer 1

One-third x + 6 minus 6 = 7 minus 6

Explanation:

= 1/3 (x + 18) = 7

= 1/3x + 6 = 7

= 1/3x = 7 - 6

= x = (1 * 3)/1 (cross multiply)

= x = 3

Hope this helps!

Answer 2

One-third x + 6 minus 6 = 7 minus 6

Explanation:

1/3(x+18) = 7

Distribute

1/3x + 6 = 7

1/3x +6-6=7-6

(The student made the error here They added 6 on the right instead of subtracting 6)

1/3x = 1

Multiply by 3

x = 3