What each term means:
Ax1 = X of the 1° equation coefficient.
Ax2 = X of the 2° equation coefficient.
By1 = Y of the 1° equation coefficient.
By2 = Y of the 2° equation coefficient.
C1 = Term Independent of the 1° equation.
C2 = Term Independent of the 2° equation.
1st Photo:
Here you have to adjust to the normal structure of a linear system (Normal structure in the 2nd photo).
2nd Photo:
Done, now you identify each term to calculate the determinants later.
3rd Photo:
This is the Cramer's Rule formula, which the N is the unknown term/variable/value, and the divisor Delta is the determinant of the coefficient of the variables (Ax1, By1....).
4th Photo:
Here you have to calculate the determinant of formed by the coefficients, and you find the Delta. To calculate a determinant you have to multiply the numbers diagonally.
Example: in the photo i calculated like this: 5 x 0, after this i calculated: (-3) x 2, when you multiply diagonally to the left (secondary diagonal) you invert the signal that you find. Done this now you have to sum the values that you found:
(5 x 0) + ((-3) x 2) = 0 + (-6) <- invert that signal
= 6
5th Photo:
Now you calculate the Delta X and Delta Y determinants, to do that you have to put, on the Delta X case, the independent terms in the place that you would put the X, and in the Delta Y case it's the same, put the independent terms in the place that you would put the Y.
After this, just substitute the values that you found in the formula:
Delta = 6 ; Delta X = -84 ; Delta Y = -148
[tex]x = delta \: x \div delta \\ x = ( - 84) \div 6 \\ x = - 14[/tex]
[tex]y = delta \: y \div delta \\ y = (- 148) \div 6 \\ y = ( - 74) \div 3[/tex]
