# Solving system of linear equations

The equation is a linear Diofant equation with positive coefficients

The equation has 96 positive integer solutions:

a1 = 0   b1 = 95
a2 = 1   b2 = 94
a3 = 2   b3 = 93
a4 = 3   b4 = 92
a5 = 4   b5 = 91
a6 = 5   b6 = 90
a7 = 6   b7 = 89
a8 = 7   b8 = 88
a9 = 8   b9 = 87
a10 = 9   b10 = 86
a11 = 10   b11 = 85
a12 = 11   b12 = 84
a13 = 12   b13 = 83
a14 = 13   b14 = 82
a15 = 14   b15 = 81
a16 = 15   b16 = 80
a17 = 16   b17 = 79
a18 = 17   b18 = 78
a19 = 18   b19 = 77
a20 = 19   b20 = 76
a21 = 20   b21 = 75
a22 = 21   b22 = 74
a23 = 22   b23 = 73
a24 = 23   b24 = 72
a25 = 24   b25 = 71
a26 = 25   b26 = 70
a27 = 26   b27 = 69
a28 = 27   b28 = 68
a29 = 28   b29 = 67
a30 = 29   b30 = 66
a31 = 30   b31 = 65
a32 = 31   b32 = 64
a33 = 32   b33 = 63
a34 = 33   b34 = 62
a35 = 34   b35 = 61
a36 = 35   b36 = 60
a37 = 36   b37 = 59
a38 = 37   b38 = 58
a39 = 38   b39 = 57
a40 = 39   b40 = 56
a41 = 40   b41 = 55
a42 = 41   b42 = 54
a43 = 42   b43 = 53
a44 = 43   b44 = 52
a45 = 44   b45 = 51
a46 = 45   b46 = 50
a47 = 46   b47 = 49
a48 = 47   b48 = 48
a49 = 48   b49 = 47
a50 = 49   b50 = 46
a51 = 50   b51 = 45
a52 = 51   b52 = 44
a53 = 52   b53 = 43
a54 = 53   b54 = 42
a55 = 54   b55 = 41
a56 = 55   b56 = 40
a57 = 56   b57 = 39
a58 = 57   b58 = 38
a59 = 58   b59 = 37
a60 = 59   b60 = 36
a61 = 60   b61 = 35
a62 = 61   b62 = 34
a63 = 62   b63 = 33
a64 = 63   b64 = 32
a65 = 64   b65 = 31
a66 = 65   b66 = 30
a67 = 66   b67 = 29
a68 = 67   b68 = 28
a69 = 68   b69 = 27
a70 = 69   b70 = 26
a71 = 70   b71 = 25
a72 = 71   b72 = 24
a73 = 72   b73 = 23
a74 = 73   b74 = 22
a75 = 74   b75 = 21
a76 = 75   b76 = 20
a77 = 76   b77 = 19
a78 = 77   b78 = 18
a79 = 78   b79 = 17
a80 = 79   b80 = 16
a81 = 80   b81 = 15
a82 = 81   b82 = 14
a83 = 82   b83 = 13
a84 = 83   b84 = 12
a85 = 84   b85 = 11
a86 = 85   b86 = 10
a87 = 86   b87 = 9
a88 = 87   b88 = 8
a89 = 88   b89 = 7
a90 = 89   b90 = 6
a91 = 90   b91 = 5
a92 = 91   b92 = 4
a93 = 92   b93 = 3
a94 = 93   b94 = 2
a95 = 94   b95 = 1
a96 = 95   b96 = 0

Write each equation on a new line or separate it by a semicolon. The online calculator solves a system of linear equations (with 1,2,...,n unknowns), quadratic equation with one unknown variable, cubic equation with one unknown variable, and finally, any other equation with one variable. Even if an exact solution does not exist, it calculates a numerical approximation of roots.

### Examples:

```a+b = 12
a-3b = a-b+43```
```x+y+z=100
3x-6y+2z=50
y-3z+x=(44-22)x+45```
`(x+4)(x-3)+34x+6x^2 = 256`
`(x+4)+34x+x^2-x^3 = -32`
`ln x = 1.2-x`
`sin x = cos(x-pi/3)+x`
`sin x = x^3+2x+x-1`
`sin x = 0.5`
`(cos x)^2 = tan(x-pi/3)`
`x^5+x^4 = -23+sin x`
`|log x|=2`
`|ln x+1|=x/10`
`|ln x+1|=ln x^2`
`1/(x+2)=1/x+4`
`sqrt(x^4+x^2+2)=22`

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