Solving Systems of Equations: All Methods Explored

Graphing, Substitution, Elimination

Comparison, Reduction, Transformation

Division, Multiplication, Addition

Integration, Differentiation, Approximation

(2, 2)

(4, 4)

(0, 0)

(1, 1)

2x - 2 for y

x + 4 for y

2y - 2 for x

y + 4 for x

(2, 2)

(1, 1)

(3, 3)

(4, 4)

Multiplication

Division

Addition

Subtraction

(1, 1)

(3, 3)

(2, 2)

(0, 0)

Vertex form

Point-slope form

Slope-intercept form

Standard form

Substituting back into the original equations

Guessing and checking

Looking up answers online

Asking a friend

Confirms the accuracy of the solution

Indicates a mistake was made

Means the equations are incorrect

Suggests an alternative solution exists

To practice algebraic manipulation

To find alternative solutions

To make the solution more complex

To ensure the solution creates true statements