4x + 3y = 12 2x + 3y = -6 select each correct answer July 28, 2021 by Eirian 4x + 3y = 12 2x + 3y = -6 select each correct answer
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 = -18 Divide -2 on both sides: x = 9 Step 5: Solve for y Define equation: 2x + 3y = -6 Substitute in x: 2(9) + 3y = -6 Multiply: 18 + 3y = -6 Subtract 18 on both sides: 3y = -24 Divide 3 on both sides: y = -8 Reply
Answer:
(9, -8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Equality Properties
Algebra I
Step-by-step explanation:
Step 1: Define Systems
4x + 3y = 12
2x + 3y = -6
Step 2: Rewrite Systems
4x + 3y = 12
Step 3: Redefine Systems
-4x – 3y = -12
2x + 3y = -6
Step 4: Solve for x
Elimination
Step 5: Solve for y