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Given that 4x-5y = 21 Find x when y = -4. Give your answer as a fraction in its simplest form.

PLEASE HELP :((

User Stephen M
by
5.6k points

2 Answers

3 votes

Answer:

1/4 (One over Four)

Explanation:

Step 1. Multiply -5 with -4 (Negitive x Negitive is always Positive!).

Step 2. Subtract 20 (From step 1) from 21.

Step 3. divide 4x by 1.

User Vaha
by
4.8k points
1 vote

Answer:

x = 1/4

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Explanation:

Step 1: Define

Identify

4x - 5y = 21

y = -4

Step 2: Solve for x

  1. Substitute in y: 4x - 5(-4) = 21
  2. Multiply: 4x + 20 = 21
  3. [Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
  4. [Division Property of Equality] Divide 4 on both sides: x = 1/4
User ClosDesign
by
5.0k points