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# Determinants

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### Determinants

1. 1. The value of x and y can be solve byusing five solution or processesmethod. This include: 1. Elimination 2. Substitution 3. Comparison 4. Graphing 5. Determinants Solving a system of two linear equation in variables x and y using the Determinants.
2. 2. ** To find a determinant you musthave a S QUA R EM A T R I X !! **
3. 3. Finding a 2 x 2 determinant: a b c dFind the determinant : -5 -7 11 8
4. 4. Finding a 3 x 3 determinant : a1 b1 c1 b2 c2 a2 c2 a2 b2 a2 b2 c2 b3 c3 a3 c3 a3 b3 a3 b3 c3Find the determinant : 3 2 1 2 3 1 3 1 2 3 1 3 1 3 3 1 2 3 3 3 1
5. 5. 2x+3y = 4 X=? x + 2y = -7 Y=?a1 = 2 ; b1 = 3 ; c1= 4a2 = 1 ; b2 = 2 ; c2 = -7
6. 6. S O L U TF o r IO c1 :b1 x N 4 3 c2 b2 -7 2 8 – (-21) 29 = = = = 29 a1 b1 2 3 4-3 1 a2 b2 1 2 For y a1 c1 2 4 a2 c2 1 -7 -14 – 4 -18 = = = = -18 a1 b1 2 3 4-3 1 a2 b2 1 2
7. 7. X = 29, Y = -182x + 3y = 4 X + 2y = -72(29) + 3(-18) = 29 + 2(-18) =4 – 54 = 458 -7 + (-36) = -7 294=4 -7 = -7