Question

Y = x - 2 -2x + 3y = -1 What is x and y?

Answer 1

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

• Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

1. Substitute in y:                    -2x + 3(x - 2) = -1
2. Distribute 3:                         -2x + 3x - 6 = -1
3. Combine like terms:            x - 6 = -1
4. Isolate x:                               x = 5

Step 3: Solve for y

1. Define equation:                    y = x - 2
2. Substitute in x:                       y = 5 - 2
3. Subtract:                                 y = 3