Question

Solve the system: -5x+6y=55 4x+3y=34 Write down your solution.

Answer 1

Answer:

(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

Step-by-step 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