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First Coefficient

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b_1

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System consistent.

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System consistent and dependent

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LINEAR SYSTEM WITH TWO VARIABLES.

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SOLVE THE FOLLOWING :

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$\\simplify{{a_1}x+{b_1}y+{c_1}}=0$

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$\\simplify{{a_2}x+{b_2}y+{c_2}}=0$

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Fill in the gaps

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$a_1$= [[0]] $b_1$=[[1]]  $c_1$= [[2]]

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$a_2$= [[3]] $b_2$= [[4]] $c_2$= [[5]]

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$\\dfrac{a_1}{a_2}$=[[6]] $\\dfrac{b_1}{b_2}$=[[7]]  $\\dfrac{c_1}{c_2}$=[[8]]

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1. Is the system consistent t(Enter 1 for \"yes\" and 0 for \"no\")[[9]]
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3. Is the system consistent and independent(Enter 1 for \"yes\" and 0 for \"no\") [[10]]
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$a_1\\times b_2$= [[11]] $a_2\\times b_1$= [[12]]

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$\\Delta=(a_1\\times b_2-a_2\\times b_1)$ = [[13]]

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$b_1\\times c_2$=[[14]] $b_2\\times c_1$=[[15]]

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$\\Delta_x=(b_1\\times c_2-b_2\\times c_1)$=[[16]]

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$c_1\\times a_2$=[[17]] $c_2\\times a_1$=[[18]]

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$\\Delta_y=(c_1\\times a_2-c_2\\times a_1)$=[[19]]

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$x=\\dfrac{\\Delta_x}{\\Delta}$=[[20]] $y=\\dfrac{\\Delta_y}{\\Delta}$=[[21]]

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