George and Bella are asked to solve −3x − 30 = 5x + 18. Identify where one of them made an error.
2 answers:
Answer:
Bella made an error in step 2
Step-by-step explanation:
The given equation is:
-3x-30=5x+18
Rearranging the like terms, we get
⇒-3x-5x=18+30
⇒-8x=48
⇒x=-6
Thus, the correct value of x is -6.
Now, Bella made a mistake in her solution as:
-3x-30=5x+18
⇒−3x − 30 − 3x = 5x + 18 − 3x (she should add 3x on both sides rather than subtracting)
⇒− 30 = 2x + 18
⇒−30 − 18 = 2x + 18 −18
⇒− 48= 2x
⇒x=-24
For the second,
In the first step, instead of adding 3x for both sides, they subtract 3x instead.
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