Solve each system of equations by substitution. Clearly identify your solution.

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 1

2x - y = 3

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                         2x - (2x + 1) = 3[Distributive Property] Distribute negative:                                                    2x - 2x + 1 = 3Combine like terms:                                                                                         1 ≠ 3

The system has no solution.

Step-by-step explanation:

y = 2x + 1

2x - y = 3

substitute the given value of y into the equation 2x - y = 3.

2x - ( 2x +1) = 3

Distribute minus sign.

2x - 2x + 1 = 3

Combine like terms.

1 ≠ 3

Since system has no solution for x, the system has no solution.