MathAlgebraLinear algebraSystems of linear equations

Introduction to systems of linear equations

Theory

Linear equations and their solutions

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Match the equations with their possible solutions (in the form (a,b,c)(a,b,c)):

Match the items from left and right columns
3a−2c+b=63a - 2c + b = 6
2a+b−3c=42a + b - 3c = 4
2c+3a−2b=02c + 3a - 2b = 0
2a−3c+b=−32a - 3c + b = - 3
(1,1,−1)(1,1,-1)
(12,43,−59)\left(\frac{1}{2}, \frac{4}{3}, -\frac{5}{9}\right)
(0,2,2)\left(0,\sqrt{2},\sqrt{2}\right)
(99,150,117)(99,150,117)
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