System of equations by subsitution 4x+y=42 and y=x+7

(7, 14)

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

4x + y = 42

y = x + 7

Step 2: Solve for x

Substitution

Substitute in y:                    4x + (x + 7) = 42Combine like terms:           5x + 7 = 42Isolate x term:                     5x = 35Isolate x:                              x = 7

Step 3: Solve for y

Define equation:                    y = x + 7Substitute in x:                       y = 7 + 7Add:                                        y = 14

Ithink the answer is: it is likely.