Question

How do I do this problem with solution by elimination?
2x+y=3
-2x+5y=-9

Answer 1

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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

Explanation:

Step 1: Define Systems

2x + y = 3

-2x + 5y = -9

Step 2: Solve for y

Elimination

1. Combine equations: 6y = -6
2. Divide 6 on both sides: y = -1

Step 3: Solve for x

1. Define equation: 2x + y = 3
2. Substitute in y: 2x - 1 = 3
3. Isolate y term: 2x = 4
4. Isolate y: x = 2