Vba code for solving N equations N unknowns

hi
solving N equations N unknowns in vba With the following conditions:
Example
a₁₁X₁ +a₁₂X₂+……+a₁₉X₉ = b₁
a₂₁X₁ +a₂₂X₂+……+a₂₉X₉ = b₂
. . . . . . . . . . . . .
a₉₁X₁ +a₉₂X₂+……+a₉₉X₉ = b₉
in Sheet 1
a11 in Cell A1 and a12 in Cell B1 ...
a21 in Cell A2 and a22 in Cell B2 ...
.....
.....


in Sheet 2
b1 in Cell A1
b2 in Cell A2
.....
.....

in Sheet 3 (An important part of my question)
solving N equations N unknowns Without using any formula, just press button key(vba code)
---------------------------------------------
Tanks

In sheet1 you have 9 columns and 89 rows of values for "a"
In sheet2 you have 1 column and 9 rows of values for "b"

You don't know what you want in sheet 3 because you show that you want to solve for 9 values of X in each equation and there are almost an infinity of possible values for each X in each equation. One example:

Quote:

---

X₁ = b₁ /a₁₁ where X₂ through X₉ = 0

---

By the way, you will have to show us the equation with X on the left hand side of the "=" sign and "a" and "b' on the right hand side:

Quote:

---

X = ???

---

Also BTW, your question will be much easier to understand if you use Excel cell and math notation in the formula

Quote:

---

A1*X + B1*X + C1*X... + I1*X = J1
Where "b₁ - b₉"" is in column "J"

---

Select Sheet3!A1:A9

Type =MMULT(MINVERSE(Sheet1!$A$1:$I$9), Sheet2!$A$1:$A9$)

Press Ctrl-Shift-Enter (Cmd+Return for Mac)

If a solution to the system of equations exists, it will be shown.

Any VBA routine would be slower and less robust than native Excel.

Here is a VBA version that uses the worksheet functions.

Code:

---

Sub test()
    Dim aArray As Variant
    Dim bArray As Variant
   
    Dim res As Variant
    aArray = Sheet1.Range("A1:I9").Value
    bArray = Sheet2.Range("a1:a9").Value
   
    res = WorksheetFunction.MInverse(aArray)
    res = WorksheetFunction.MMult(res, bArray)
    With Sheet3.Range("A1")
        .Resize(UBound(res, 1), UBound(res, 2)).Value = res
    End With
End Sub

---