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

Find the value of y showing your steps or explaining your thinking. (2 pts.)​-example-1

1 Answer

11 votes

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
User Oleksandr IY
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