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Zolol [24]
3 years ago
7

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step

1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven
Mathematics
2 answers:
mixas84 [53]3 years ago
3 0
The problem seems to be correct there should be there aren't any mistakes right?
DanielleElmas [232]3 years ago
3 0

Answer:

The error was that Jordan didn't take into account the minus sign in the step 3. The solution of the equation is x=-\frac{23}{7}

Step-by-step explanation:

The steps to solve the equation -7x+25=48 would be:

  1. -7x+25-25=48-25,          the step 1 is correct.
  2. -7x=23,          the step 2 is correct
  3. \frac{-7x}{7}=\frac{23}{7},          the step 3 is correct.
  4. x=\frac{23}{7},           the step 4 is INCORRECT

The step 4 is incorrect because the minus sign in the step 3 was not taken into account. The correct steps would be:

  1. -7x+25-25=48-25
  2. -7x=23
  3. \frac{-7x}{7}=\frac{23}{7}
  4. -x=\frac{23}{7}
  5. -x\cdot (-1)=\frac{23}{7}\cdot (-1)
  6. x=-\frac{23}{7}

Thus, the error was that Jordan didn't take into account the minus sign in the step 3. The solution of the equation is x=-\frac{23}{7}

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