Question

Solve the system using elimination

Answer 1

(3, 2)

Explanation:

2x + 5y = 16 ........ (1)

3x - 5y = - 1 ......... (2)

(1) + (2)

( 2x + 3x ) + [ 5y + ( - 5y)] = 16 + (- 1)

5x = 15 ⇒ x = 3

2(3) + 5y = 16 ⇒ y = 2

(3, 2)

Answer 2

(3, 2)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define systems

2x + 5y = 16

3x - 5y = -1

Step 2: Solve for x

1. Eliminate y (add equations): 5x = 15
2. Divide 5 on both sides: x = 3

Step 3: Solve for y

1. Define equation: 2x + 5y = 16
2. Substitute in x: 2(3) + 5y = 16
3. Multiply: 6 + 5y = 16
4. Subtract 6 on both sides: 5y = 10
5. Divide 5 on both sides: y = 2