Question

Solve the system.

y+5x=1

5y-x=5

The solution is ___


Explain your choice of method.

Answer 1

Answer:

(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

Step-by-step 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