Solve the system. 3x=y+2

3x+2y=5

The solution is

Explain your choice of method.

(1, 1)

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 equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x = y + 2

3x + 2y = 5

Step 2: Rewrite Systems

3x = y + 2

Subtract 2 on both sides:                    3x - 2 = yRewrite:                                                 y = 3x - 2

Step 3: Redefine Systems

y = 3x - 2

3x + 2y = 5

Step 4: Solve for x

Substitution

Substitute in y:                         3x + 2(3x - 2) = 5Distribute 2:                              3x + 6x - 4 = 5Combine like terms:                9x - 4 = 5Isolate x term:                          9x = 9Isolate x:                                   x = 1

Step 5: Solve for y

Define equation:                    3x + 2y = 5Substitute in x:                       3(1) + 2y = 5Multiply:                                  3 + 2y = 5Isolate y term:                        2y = 2Isolate y:                                 y = 1

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