4x + 3y = 12 2x + 3y = -6 select each correct answer

(9, -8)

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

4x + 3y = 12

2x + 3y = -6

Step 2: Rewrite Systems

4x + 3y = 12

Multiply everything by -1:                    -4x - 3y = -12

Step 3: Redefine Systems

-4x - 3y = -12

2x + 3y = -6

Step 4: Solve for x

Elimination

Combine 2 equations:                     -2x = -18Divide -2 on both sides:                  x = 9

Step 5: Solve for y

Define equation:                     2x + 3y = -6Substitute in x:                        2(9) + 3y = -6Multiply:                                   18 + 3y = -6Subtract 18 on both sides:      3y = -24Divide 3 on both sides:           y = -8