Question

16x+14y=8
-63x-14y=133

Answer 1

(-3, 4)

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
• Solving systems of equations by graphing

Explanation:

Step 1: Define Systems

16x + 14y = 8

-63x - 14y = 133

Step 2: Solve for x

Elimination

1. Combine 2 equations: -47x = 141
2. Divide -47 on both sides: x = -3

Step 3: Solve for y

1. Define original equation: 16x + 14y = 8
2. Substitute in x: 16(-3) + 14y = 8
3. Evaluate multiplication: -48 + 14y = 8
4. Add 48 on both sides: 14y = 56
5. Divide 14 on both sides: y = 4

Step 4: Graph Systems

Check the solution set.