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Algebra2D

Systems of Equations - Theory & Concepts

Techniques for solving systems of linear equations using graphing, substitution, and elimination methods.

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Systems of Linear Equations Explorer

Equation 1 (Blue)

m1 (Slope)1
b1 (Intercept)2
y=x+2y = x + 2

Equation 2 (Purple)

m2 (Slope)-0.5
b2 (Intercept)-1
y=0.5x1y = -0.5x - 1

Determinant Test:

D=m2m1=1.50D = m_2 - m_1 = -1.50

System Status:

Consistent Independent (Unique Solution)

(x,y)=(2.00,0.00)(x, y) = (-2.00, 0.00)
(-2.0, 0.0)xy