Question

Y= -2x – 6
2x + y = 5

Answer 1

No solution

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
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Coordinates (x, y)
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = -2x - 6

2x + y = 5

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + (-2x - 6) = 5
2. Combine like terms: -6 ≠ 5

Here we see that -6 does not equal 5.

∴ the systems of equations has no solution.