SOLUTION: Solve using Cramer's Rule.
-2x + 3y = 16
4x = -3y + 40
Algebra.Com
Question 47337: Solve using Cramer's Rule.
-2x + 3y = 16
4x = -3y + 40
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
-2x + 3y = 16
4x = -3y + 40
becomes
-2x + 3y = 16
4x + 3y = 40
in matrix form, we have:
And its determinant is (-2)(3) - (4)(3)
D = -6 - 12
D = -18
Now re-write the matrix as:
to calculate the x-version Determinant, Dx --> (16)(3) - (40)(3)
Dx = 48 - 120
Dx = - 72
Now re-write the matrix as:
to calculate the y-version Determinant, Dy --> (-2)(40) - (16)(4)
Dy = -80 - 64
Dy = -144
Now, x = Dx/D
x = -72/-18
x = 4
and y = Dy/D
y = -144/-18
y = 8
check:
-2x + 3y = 16
-2(4) + 3(8)
-8 + 24
16 --> correct
4x + 3y = 40
4(4) + 3(8)
16 + 24
40 --> correct
Look at my Lesson on a 3x3 Matrix using Cramer's Rule
jon.
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