What is 3/4(9x + 2) = 15x
What does x equal?
Can you please show me your work! Thanks
2006-09-28 17:38:22 · 17 answers · asked by Jae 2 in Science & Mathematics ➔ Mathematics
3/4(9x + 2) = 15x
(9x + 2) = 4/3 (15x)
9x + 2 = 20x
2 = 20x - 9x
2 = 11x
2/11 = x
2006-09-28 17:44:38 · answer #1 · answered by Chuckie 7 · 2⤊ 2⤋
hi see the beauty
Beauty of Maths!
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
Brilliant, isn't it?
And finally, take a look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111=12345678987654321
2006-09-29 01:10:49 · answer #2 · answered by sekharssajja 2 · 0⤊ 2⤋
3/4(9x + 2) = 15x
4(3/4)(9x + 2 = 4(15x)
Clearing the fraction. Multiplying both sides of the equation by 4
3(9x + 2) = 60x
27x + 6 = 60x
Tfhe distributive property on the left side of the equation.
27x + 6 - 27x = 60x - 27x
Subtracting - 27x from both sides of the equation
6 = 33x
6/33 = 33x/33
Dividing 33 on both sides of the equation
6/33 = x
2/11 = x
The solution set is { 2/11 }
2006-09-29 07:27:25 · answer #3 · answered by SAMUEL D 7 · 0⤊ 0⤋
Amazing.There are so many answers.Correct answer is x=2/11. May I suggest that Answerers plug in the answer back into the equation to see if the answer is correct. If you are acting as a teacher , make sure you are teaching right.
The following is the simplest way to solve. Eq is
(3/4)(9x+2)=15x
Multiply throughout by 4/3.You get
9x+2=20x.
Now solve.
2006-09-29 01:02:47 · answer #4 · answered by Rajesh Kochhar 6 · 0⤊ 0⤋
Hey is it 3/4 * (9x+2) = 15x or 3 / (4*(9x+2)) = 15x
for first one,
3/4 * (9x+2) = 15x
27x + 6 = 60x
33x = 6
x = 6/33 or 2/11
For the second one,
3 / (4*(9x+2)) = 15x
3/(36x+8) = 15x
3 = 540x^2 + 120x
solving this quadratric equation, 540x^2 + 120x - 3 =0
180x^2 + 40x - 1 = 0
x = 4294.974048365227 or -4374.974048365227
2006-09-29 02:55:16 · answer #5 · answered by ksj_goblin 3 · 0⤊ 0⤋
multiply each side by 4/3 first.
4/3(3/4)(9x + 2) = 15x(4/3)
9x + 2 = 60x/3
9x + 2 = 20x (now you combine like terms by subtracting 9x on both sides)
-9x + 9x + 2 = 20x - 9x
11x = 2
so x = 2/11
2006-09-29 00:50:08 · answer #6 · answered by M T 1 · 0⤊ 0⤋
3/4(9x + 2)=15x
9x + 2 = (4/3)15x
9x + 2 =(60/3)x
9x + 2=20x
2 = 11x
x= 2/11
2006-09-29 00:48:17 · answer #7 · answered by Ali B 2 · 0⤊ 2⤋
(3/4)(9x + 2) = 15x
3(9x + 2) = 60x
9x + 2 = 20x
2 = 11x
x = (2/11)
2006-09-29 01:14:40 · answer #8 · answered by Sherman81 6 · 0⤊ 0⤋
0.1818181818 repeating
3/4(9x+2) = 15x
3/4*9x + 3/4*2 = 15x
6.75x + 1.5 = 15x
15x-6.75x = 8.25x
1.5/8.25 = x
2006-09-29 00:44:37 · answer #9 · answered by The Disciple 2 · 2⤊ 0⤋
3/4(9x+2)=15x
21x/4 + 3/2 = 15x
21x/4-15x = -3/2
(21x-60x)1/4 = -3/2
-39x = -3/2
-x = -3/2 * 1/39
-x=-1/26
x=1/26
2006-09-29 07:26:49 · answer #10 · answered by Nikki 2 · 0⤊ 0⤋