Question

Solve the system of equations.

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

Answer 1

Answer:

(-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

Step-by-step 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