Question

Solve the system.

y+5x=1

5y-x=5

The solution is ___


Explain your choice of method.

Answer 1

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

1. Subtract 5x on both sides: y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

1. Substitution in y: 5(1 - 5x) - x = 5
2. Distribute 5: 5 - 25x - x = 5
3. Combine like terms: 5 - 26x = 5
4. Isolate x term: -26x = 0
5. Isolate x: x = 0

Step 5: Solve for y

1. Define equation: 5y - x = 5
2. Substitute in x: 5y - 0 = 5
3. Subtract: 5y = 5
4. Isolate y: y = 1