Question

Solve the system of equations.

2x-3x=21 and -6x+2y=7

Answer 1

(-21, -59.5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

2x - 3x = 21

-6x + 2y = 7

Step 2: Solve for x

2x - 3x = 21

1. Combine like terms: -x = 21
2. Isolate x: x = -21

Step 3: Solve for y

1. Define equation: -6x + 2y = 7
2. Substitute in x: -6(-21) + 2y = 7
3. Multiply: 126 + 2y = 7
4. Isolate y term: 2y = -119
5. Isolate y: y = -59.5