Erica solved the equation βˆ’5x βˆ’ 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)

βˆ’5x βˆ’ 25 = 78
Step 1: βˆ’5x βˆ’ 25 βˆ’ 25 = 78 βˆ’ 25
Step 2: βˆ’5x = 53
Step 3: = -5x/-5=53/-5
Step 4: x = -53/5

Respuesta :

βˆ’5x βˆ’ 25 = 78

Step 1: βˆ’5x βˆ’ 25 βˆ’ 25 = 78 βˆ’ 25 Β  Β  Β  Β WRONG

- 5x - 25 = 78

- 5x - 25 + 25 = 78 + 25

- 5x Β  Β  Β  Β  Β  Β  Β  Β  Β = 103

x = - 103/5

x = - 20,6

Esther

Answer:

Step-by-step explanation:

βˆ’5x βˆ’ 25 = 78

Step 1: βˆ’5x βˆ’ 25 βˆ’ 25 = 78 βˆ’ 25 Β <== this is where the error was made.

Step 2: βˆ’5x = 53

Step 3: = βˆ’5x/βˆ’5=53/βˆ’5

Step 4: x = βˆ’53/5

Right steps:

βˆ’5x βˆ’ 25 = 78

Step 1: βˆ’5x βˆ’ 25 + 25 = 78 + 25

Step 2: βˆ’5x = 103

Step 3: βˆ’5x/βˆ’5 = 103/βˆ’5

Step 4: x = 103

Step 1 was where the error was, because she subtracted 15 from both sides instead of adding 15, so they cancelled out.

Hope this helps!