Question

Solve the following equation (y = 1.2345x – 0.6789) for x, given that y = 0.570

Answer 1

Answer:

x = 1.01166

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

y = 1.2345x - 0.6789

y = 0.570

Step 2: Solve for x

1. Substitute in y:                                                                                                0.570 = 1.2345x - 0.6789
2. [Addition Property of Equality] Add 0.6789 on both sides:                        1.2489 = 1.2345x
3. [Division Property of Equality] Divide 1.2345 on both sides:                      1.01166 = x
4. Rewrite/Rearrange:                                                                                        x = 1.01166