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Sagot :
Answer:
Correct steps given below:
- 511 = -7 (10x - 13)
- 511 = - 70x - (-91)
- 511 = -70x + 91
- -91 - 91
- ---------------------
- 420 = -70x
- 420/-70 = -70x/-70
- -6 = x
Ian missed the step 3 above.
He wrongly added 91 to both sides instead of subtracting, this resulted in wrong solution.
Answer:
See below.
Step-by-step explanation:
The mistake Ian made was incorrectly distributing -(-91). When multiplying two negative numbers the result is always positive: [tex]-a \cdot -b=-a(-b)=ab[/tex].
This error meant he added 91 to both sides of the equation in Step 3 of his calculation, when he should subtract 91 from both sides.
Therefore, the correct calculation is:
[tex]\begin{array} { r l}511 & = -7(10x-13)\\\\511 & = -70x \phantom{)))}+91\\\\-91 & \phantom{))))))))))))} -91\\\\\cline{1-2}\\420 & = -70x\\\\\dfrac{420}{-70} & = \dfrac{-70x}{-70}\\\\-6 & = x\end{array}[/tex]
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