Question 827125: 8x-y=4 and 5x+3y=17 solving by substitution.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
8x-y=4
x+3y=17
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solution by matrix-method:
x = 1.16
y = 5.28
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system matrix
8 -1
1 3
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inverse of system matrix
0.12 0.04
-0.04 0.32
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determinant of system matrix = 25
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now by substitution-method:
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8x - y = 4
y = 8x - 4
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x + 3y = 17
x + 3(8x - 4) = 17
x + 24x - 12 = 17
25x = 29
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x = 29/25
x = 1.16
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y = 8x - 4
y = 8*(29/25) - 4
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y = 5.28
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solution by substitution-method:
x = 1.16
y = 5.28
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the two methods agree.
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