Solve the system. y+5x=1

5y-x=5

The solution is ___

Explain your choice of method.

(0, 1)

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

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 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

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

Step 5: Solve for y

Define equation:                    5y - x = 5Substitute in x:                       5y - 0 = 5Subtract:                                 5y = 5Isolate y:                                 y = 1