Question

Final solution to the system of equations given below
x=-4
5x+4y=-10​

Answer 1

(-4, 5/2)

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

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

Explanation:

Step 1: Define Systems

x = -4

5x + 4y = -10

Step 2: Solve for y

Substitution

1. Substitute in x: 5(-4) + 4y = -10
2. Multiply: -20 + 4y = -10
3. [Addition Property of Equality] Add 20 on both sides: 4y = 10
4. [Division Property of Equality] Divide 4 on both sides: y = 10/4
5. Simplify: y = 5/2