The error Kevin made was in step 2 when he added before he multiplied.
<h3>What error did Kevin make?</h3>
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
- bracket
- of
- division
- multiplication
- addition
- subtraction
- Step 1 : 75 - 6 x 2 + 3
- Step 2: 75 - 12 + 3
- Step 3 : 75 - 9
- Step 4: 66
To learn more about addition, please check: brainly.com/question/349488
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Answer :
6. x=28
7.x =6
8. x =9
9. x =9
Step-by-step explanation:
![\frac{x + 2}{10} = 3](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B10%7D%20%20%3D%203)
![x + 2 = 3 \times 10 \\ x + 2 = 30 \\ x = 30 - 2 \\ x = 28](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%203%20%5Ctimes%2010%20%5C%5C%20x%20%2B%202%20%3D%2030%20%5C%5C%20x%20%3D%2030%20-%202%20%5C%5C%20x%20%3D%2028)
6.
(x+2)/10 = 3
Cross multiply
x+2 = 10 ×3
x+2 =30
Collect like terms and simplify
x =30-2
x = 28
7.
![8x + 9 - 5x = 27 \\ 8x - 5x = 27 - 9 \\ 3x = 18](https://tex.z-dn.net/?f=8x%20%2B%209%20-%205x%20%3D%2027%20%5C%5C%208x%20-%205x%20%3D%2027%20-%209%20%5C%5C%203x%20%3D%2018)
![\frac{3x}{3} = \frac{18}{3} \\x = 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B18%7D%7B3%7D%20%20%5C%5Cx%20%20%3D%206)
8x +9 -5x= 27
Collect like terms and simplify
8x-5x =27-9
3x =18
Divide both sides of the equation by 3
3x/3 = 18/3
x = 6
8.
10x+8=8x+26
Collect like terms
10x-8x=26-8
2x = 18
Divide both sides of the equation by 2
2x/2 = 18/2
x = 9
9.
2(x-5)+4x=x+35
Use 2 to open the bracket
2 × x =2x
2×(-5) =-10
2x-10+4x =x+35
Collect like terms and simplify
2x+4x-x = 35+10
5x = 45
Divide both sides of the equation by 5
5x/5 = 45/5
x =9