Amit solved the equation 5 over 12 is equal to negative x over 420 for x using the steps shown. What was Amit’s error? Amit’s Work 5 over 12 is equal to negative x over 420 5 over 12 times 420 is equal to negative x over 420 times 420 x is equal to 175
Answer
A
The product of 5 over 12 and negative 420 should have been the value of x .
B
Amit should have multiplied both sides of the equation by 5 over 12 .
C
The product of 5 over 12 and 420 is not equal to 175 .
D
Amit should have multiplied both sides of the equation by 12 fifths .
Explanation
Multiplying both sides by 420 gives 175 = −x, because (5/12) × 420 = 175 and (−x/420) × 420 = −x. Therefore x = −175. Amit’s error was losing the negative sign; the product of 5/12 and −420 gives the correct value of x, as choice A states.
AI-written and checked against the verified answer.