Answer:
x = 5 thus B) is the Answer
Explanation:
Solve for x:
(2 (10 x + 15))/5 = 26
Multiply both sides of (2 (10 x + 15))/5 = 26 by 5/2:
(5×2 (10 x + 15))/(2×5) = 5/2×26
5/2×26 = (5×26)/2:
(5×2 (10 x + 15))/(2×5) = (5×26)/2
(5×2 (10 x + 15))/(2×5) = (2×5)/(2×5)×(10 x + 15) = 10 x + 15:
10 x + 15 = (5×26)/2
2 | 1 | 3
| 2 | 6
- | 2 |
| | 6
| - | 6
| | 0:
10 x + 15 = 5×13
5×13 = 65:
10 x + 15 = 65
Subtract 15 from both sides:
10 x + (15 - 15) = 65 - 15
15 - 15 = 0:
10 x = 65 - 15
65 - 15 = 50:
10 x = 50
Divide both sides of 10 x = 50 by 10:
(10 x)/10 = 50/10
10/10 = 1:
x = 50/10
The gcd of 50 and 10 is 10, so 50/10 = (10×5)/(10×1) = 10/10×5 = 5:
Answer: x = 5