Back to Algebra repository
Algebra2D

Systems of Equations - Theory & Concepts - Graphical Systems

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

Open the complete lesson

System of Linear Equations Explorer

Equation 1 (Blue)y1=x+2y_1 = x + 2
Slope m1m_11.0
Y-Intercept b1b_12
Equation 2 (Rose)y2=−x−1y_2 = -x - 1
Slope m2m_2-1.0
Y-Intercept b2b_2-1

Algebraic Solver

Consistent & Independent

The lines have different slopes, intersecting at exactly one point:

(x,y)=(−1.50,0.50)(x, y) = (-1.50, 0.50)
xy(-1.5, 0.5)
Equation 1
Equation 2
Intersection

Related simulations

Fundamentals - Theory & ConceptsFundamentals - Theory & Concepts - Absolute ValueExponents and Radicals - Theory & Concepts - Exponent RulesExponents and Radicals - Theory & Concepts - Power Function