What is the simplest fraction of 21 out of 56?

What is the simplest fraction of 21 out of 56?

21 out of 56 = 3 out of 8

56 out of 24 becomes the simplest fraction

7 / 3

How to solve the system of equations 2 (X-Y) / 3-x + Y / 4 = - 16 (x + y) - 4 (X-Y) = 12 more easily

How to solve the equations 2 (X-Y) / 3 - (x + y) / 4 = - 1,6 (x + y) - 4 (X-Y) = 12
2(x-y)/3-(x+y)/4=-1.(1)
6(x+y)-4(x-y)=12.(2)
From (2), 2 (X-Y) - 3 (x + y) = - 6. (3)
From (1), 8 (X-Y) - 3 (x + y) = - 12. (4)
(4) (3) 6 (X-Y) = - 6, so X-Y = - 1. (5)
Substituting (5) into (3), we get 3 (x + y) = - 2 + 6 = 4, so x + y = 4 / 3. (6)
(5) + (6) is 2x = 1 / 3, so x = 1 / 6; substituting (6) is y = 4 / 3-x = 4 / 3-1 / 6 = 7 / 6

Equations (3 / x + y) + 2 / (X-Y) = 6 3 (x + y) - 2 (X-Y) = 28

3/X+Y)+2/(X-Y)=6 .a
3/(X+Y)-2(X-Y)=28.b
a+b
6/(X+Y)=34
17X+17Y-3=0
a-b
4/(X-Y)=-22
11x-11y+2=0
x=-1/374
y=67/374

3 / x + y + 2 / X-Y = 6,3 (x + y) - 2 (X-Y) = 28, solve the equations

∵3/x+y+2/x-y=6
∴x＋5y=28
∵3（x+y)-2(x-y)=28
∴x=5/6
∴y=163/30

Solution equation: x ^ 3-9 = 9x-x ^ 2

x³-9=9x-x²
x³+x²-9x-9=0
x²(x+1)-9(x+1)=0
(x+1)(x²-9)=0
(x+1)(x+3)(x-3)=0
1=-1,x2=-3,x3=3
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Solving equation x (x-1) + 9 = 9x

1.9x + 2.6 = 6.5

1.9x+2.6=6.5
1.9x=6.5-2.6
1.9x=3.9
x=39/19

How to solve the equation 2 / 3-1 / 9x = 1 / 6

2/3-1/9x=1/6
2/3-1/6=1/9x
1/2=1/9x
x=9/2

0.9x-6.2 = 10 solution equation, to complete!

0.9x-6.2=10
0.9x=10+6.2
0.9x=16.2
x=16.2/0.9
x=18