please simplify these equations step by step the one who wil solve it as i said i promise i will mark him as brainliest
Answers
Answer:
a. 5/7
b. -268/119
c. 280/4503
Step-by-step explanation:
a. 3/2(5x - 3) + 10 = 18x - 2
(15x-9)/2 + 10 = 18x - 2
(15x -9)/2 + 20/2 = 18x - 2
(15x - 9 + 20)/2 = 2 (9x - 1)
(15x + 11)/2 = 2(9x - 1)
multiplying both sides by 2
we get
15x + 11 = 4(9x - 1)
15x + 11 = 36x - 4
36x - 4 = 15x + 11
36x - 15x = 11 + 4
21x = 15
x = 15/21
x = 5/7
b. (10x+ 16)/5 + (22 - 3x)/10 = π/2
now we all know that π = 22/7
so now we get
2(10x + 16)/10 + (22-3x)/10 = 22/(2× 7)
(20x + 32)/10 + (22 - 3x)/10 = 22/14
(20x - 3x + 22 + 32)/10 = 11/7
(17x + 54)/10 = 11/7
17x + 54 = 10(11/7)
17x = 110/7 - 54
17x = 110 - 378/7
17x = - 268/7
x = -268/(7 × 17)
x = -268/119
c. 0.15x + 0.01(0.1x - 10) = 100/120
15x/100 + 1/100 (x/100 - 10) = 100/120
15x/100 + x/10000 - 10/100 = 100/120
1500x/10000 + x/10000 - 1/10 = 100/120
1501x/10000 = 100/120 + 1/10
1501x/10000 = 100/120 + 12/120
1501x/10000 = 112/120
1501x/10000 = 14/15
x = 14/15 × 10000/1501
x = 1400/22515
x = 280/4503