1/4x−5/2 = −1/8
+5/2 +5/2 Add 5/2 to both sides.
1/4x = 21.8 −1/8+5/2=−1/8+20/8=21/8
4⋅14x = 4⋅218 Multiply both sides by 4.
x = 212 4⋅218=212 .
In which part of the solution, if any, did Carlos make the first error?
(1 point)
Responses
He added 52 to both sides.
He added Start Fraction 5 over 2 End Fraction to both sides.
He did not make any errors.
He did not make any errors.
He multiplied both sides by 4.
He multiplied both sides by 4.
He incorrectly added −18 and 52.
He incorrectly added negative Start Fraction 1 over 8 End Fraction and Start Fraction 5 over 2 End Fraction .
Remaining Attempts : 3
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1 answer
Carlos made an error in the step where he added \(-\frac{1}{8}\) and \(\frac{5}{2}\).
To clarify, let's look at that calculation:
\[ -\frac{1}{8} + \frac{5}{2} = -\frac{1}{8} + \frac{20}{8} = \frac{19}{8} \]
However, Carlos incorrectly stated that the result of that addition was \(\frac{21}{8}\).
Therefore, the correct answer is:
He incorrectly added \(-\frac{1}{8}\) and \(\frac{5}{2}\).
