Solve each system of equations using any method. x+3y=9, 2x-3y=3

(4, 5/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

x + 3y = 9

2x - 3y = 3

Step 2: Solve for x

Elimination

Combine equations:                     3x = 12Divide 3 on both sides:                x = 4

Step 3: Solve for y

Define equation:                    x + 3y = 9Substitute in x:                       4 + 3y = 9Isolate y term:                        3y = 5Isolate y:                                 y = 5/3

Step 4: Graph Systems

Check the solution set.