3x – 2y = 0 4x + 2y = 14 solve by elimination

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x - 2y = 0

4x + 2y = 14

Step 2: Solve for x

Elimination

Combine equations:                     7x = 14Divide 7 on both sides:                 x = 2

Step 3: Solve for y

Define equation:                     3x - 2y = 0Substitute in x:                        3(2) - 2y = 0Multiply:                                   6 - 2y = 0Isolate y term:                         -2y = -6Isolate y:                                  y = 3