Solve the given system by substitution.

(-3, -15)

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

n = 5m

n = 2/3m - 13

Step 2: Solve for m

Substitution

Substitute in n:                                 5m = 2/3m - 13Subtract 2/3m on both sides:          13/3m = -13Divide 11/3 on both sides:                m = -3

Step 3: Solve for n

Define equation:                    n = 5mSubstitute in m:                      n = 5(-3)Multiply:                                  n = -15

Step-by-step explanation:

5m = 2/3m - 13

15m = 2m - 39

13m = -39

m = -3

n = 5(-3)

n = -15

(-3, -15)

x = 9

Step-by-step explanation:

32 + 4 + 6x = 90    Set angles to be added to each other and equal to 90.

36 + 6x = 90          Combine like terms.

6x = 54                   Subtract 36 from both sides.

x = 9                        Divide 6 from both sides.