Question

PLS HELP
solve the system of equation using elimination:
3x+y=-2
5x-y=-10

Answer 1

(-3/2, 5/2)

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

3x + y = -2

5x - y = -10

Step 2: Solve for x

Eliminate y

1. Add 2 equations together: 8x = -12
2. Divide 8 on both sides: x = -12/8
3. Simplify fraction: x = -3/2

Step 3: Solve for y

1. Define original equation: 3x + y = -2
2. Substitute in x: 3(-3/2) + y = -2
3. Multiply: -9/2 + y = -2
4. Add 9/2 on both sides: y = 5/2