Question

Find the value of y showing your steps or explaining your thinking. (2 pts.)​

Answer 1

Answer:

y = 54

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

Algebra I

• Equality Properties

Geometry

• Congruency

• All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

3(x + 7)° = 63°

3(x + 7)° + 63° + y° = 180°

Step 2: Solve for x

1. Divide 3 on both sides:                    x + 7 = 21
2. Subtract 7 on both sides:                 x = 14

Step 3: Solve for y

1. Substitute in x:                    3(14 + 7) + 63 + y = 180
2. (Parenthesis) Add:              3(21) + 63 + y = 180
3. Multiply:                               63 + 63 + y = 180
4. Combine like terms:           y + 126 = 180
5. Isolate y:                              y = 54