Question

Use substitution to solve the system x=2y-5 and -2x+5y=11

Answer 1

(-3, 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

Algebra I

• Solving systems of equations by substitution/elimination

Explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

1. Substitute in x: -2(2y - 5) + 5y = 11
2. Distribute -2: -4y + 10 + 5y = 11
3. Combine like terms: y + 10 = 11
4. Isolate y: y = 1

Step 3: Solve for x

1. Define original equation: x = 2y - 5
2. Substitute in y: x = 2(1) - 5
3. Multiply: x = 2 - 5
4. Subtract: x = -3