Question

Given ; 2(10-13x)+9x=-34x+60

Step 1 20-26x+9x- -34x+60

Step 2 17x= - 34x +40

Step 3 51x= 40

Step 4 x= 40/51

In what step is there first an error. Please explain the error and how to correctly work the problem

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Answer 1

Try comparing your solution with the following:

Solution:

$2(10-13x)+9x=-34x+60\\(20-26x)+9x=-34x+60\\20-26x+9x=-34x+60\\20-17x=-34x+60\\20-60=-34x+17x\\-40=-17x\\x=\frac{40}{17}$

Answer:

$x=\frac{40}{17}$

Check:

$2[10-13(\frac{40}{17})]+9(\frac{40}{17})=-34(\frac{40}{17})+60\\-20=-20$

Hope this was helpful.