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

Write down your solution.

(1, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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

Step 3: Redefine Systems

-5x + 6y = 55

-8x - 6y = -68

Step 4: Solve for x

Elimination

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

Step 5: Solve for y

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

Cwill be your correct answer