Question

Solve this system by elimination

10x+6y=14
-x-6y=-23

Show step by step

Answer 1

(-1, 4)

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

10x + 6y = 14

-x - 6y = -23

Step 2: Solve for x

Elimination

1. Add 2 equations together: 9x = -9
2. Divide 9 on both sides: x = -1

Step 3: Solve for y

1. Define original equation: -x - 6y = -23
2. Substitute in x: -(-1) - 6y = -23
3. Multiply: 1 - 6y = -23
4. Subtract 1 on both sides: -6y = -24
5. Divide -6 on both sides: y = 4