(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
Explanation:
Step 1: Define Systems
4x + y = 42
y = x + 7
Step 2: Solve for x
Substitution
Substitute in y: 4x + (x + 7) = 42
Combine like terms: 5x + 7 = 42
Isolate x term: 5x = 35
Isolate x: x = 7
Step 3: Solve for y
Define equation: y = x + 7
Substitute in x: y = 7 + 7
Add: y = 14