Solve the given system using elimination.

s = 1

t = -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

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

Subtract t on both sides:                    15s = -t + 5Multiply both sides by 3:                    45s = -3t + 15

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

Combine equations:                    49s = 49Divide 49 on both sides:             s = 1

Step 5: Solve for t

Define equation:                     15s + t = 5Substitute in s:                         15(1) + t = 5Multiply:                                   15 + t = 5Isolate t:                                   t = -10

The method to find the female dormitory is 2-d=800