Question

Solve the system:
-5x+6y=55
4x+3y=34

Write down your solution.

Answer 1

(1, 10)

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

-5x + 6y = 55

4x + 3y = 34

Step 2: Rewrite Systems

4x + 3y = 34

1. Multiply everything by -2: -8x - 6y = -68

Step 3: Redefine Systems

-5x + 6y = 55

-8x - 6y = -68

Step 4: Solve for x

Elimination

1. Combine equations: -13x = -13
2. Divide -13 on both sides: x = 1

Step 5: Solve for y

1. Define equation: 4x + 3y = 34
2. Substitute in x: 4(1) + 3y = 34
3. Multiply: 4 + 3y = 34
4. Isolate y term: 3y = 30
5. Isolate y: y = 10