Question

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

Answer 1

Answer:

(7, 14)

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

4x + y = 42

y = x + 7

Step 2: Solve for x

Substitution

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

Step 3: Solve for y

1. Define equation:                    y = x + 7
2. Substitute in x:                       y = 7 + 7
3. Add:                                        y = 14