X+2y=13
3x-5y=6
what is (x, y)?

(7, 3)

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

x + 2y = 13

3x - 5y = 6

Step 2: Rewrite Systems

x + 2y = 13

Subtract 2y on both sides:                    x = 13 - 2y

Step 3: Redefine Systems

x = 13 - 2y

3x - 5y = 6

Step 4: Solve for y

Substitution

Substitute in x:                    3(13 - 2y) - 5y = 6Distribute 3:                         39 - 6y - 5y = 6Combine like terms:           39 - 11y = 6Isolate y term:                     -11y = -33Isolate y:                              y = 3

Step 5: Solve for x

Define equation:                    x + 2y = 13Substitute in y:                       x + 2(3) = 13Multiply:                                  x + 6 = 13Isolate x:                                 x = 7

hope it is correct if not i'm srry i tried to

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