You can put this solution on YOUR website! ---
x+2y=2
5x-3y=-29
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solution by matrix-method:
x = -4
y = 3
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system matrix
1 2
5 -3
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inverse of system matrix
0.23076923 0.15384615
0.38461538 -0.076923077
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determinant of system matrix = -13
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now solution by substitution-method:
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x + 2y = 2
2y = 2 - x
y = 1 - (1/2)x
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5x - 3y = -29
5x - 3(1 - (1/2)x) = -29
5x - 3 + (3/2)x = -29
(10/2)x + (3/2)x = -29 + 3
x = -26
x = -26(2/13)
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x = -4
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y = 1 - (1/2)x
y = 1 - (1/2)(-4)
y = 1 + 2
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y = 3
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solution by substitution-method:
x = -4
y = 3
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