What is the x value of the solution to the system is the equations

4x-2y=16

4y=-3x+34

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

4x - 2y = 16

4y = -3x + 34

Step 2: Rewrite Systems

4x - 2y = 16

[Multiplication Property of Equality] Multiply everything by 2:                    8x - 4y = 32

Step 3: Redefine Systems

8x - 4y = 32

4y = -3x + 34

Step 4: Solve for x

Elimination

Combine 2 equations:                                                                                    8x = 32 - 3x + 34[Addition] Combine like terms:                                                                      8x = -3x + 66[Addition Property of Equality] Add 3x on both sides:                                 11x = 66[Division Property of Equality] Divide 11 on both sides:                               x = 6

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