Question

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

Answer 1

Answer:

(-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

Step-by-step 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