Question

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

Answer 1

Answer:

(-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

Step-by-step 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.