Question

Solve the given system using elimination.

Answer 1

Explanation is below

Explanation:

Here ya go

Step 1

15s+t=5,4s=3t+34 Question

Step 2

4s=3t+34 Substitute -15s+5

4s=3(-15s+5)+34

s=1

Step 3

t=-15s+5 Substitute 1 for s

t=(-15)(1)+5

t=-10

answer

s=1

t=-10

Answer 2

s = 1

t = -10

General Formulas and Concepts:

Pre-Algebra

1. Order of Operations: BPEMDAS
2. Brackets
3. Parenthesis
4. Exponents
5. Multiplication
6. Division
7. Addition
8. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

15s + t = 5

4s = 3t + 34

Step 2: Rewrite

15s + t = 5

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

Step 3: Redefine Systems

45s = -3t + 15

4s = 3t + 34

Step 4: Solve for s

Elimination

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

Step 5: Solve for t

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