5x-15=50 in distributive

Mathematics

2 answers:

maria [59]3 years ago

8 0

5(x-3)=50 distribution the 5 to both the x and the -3 to get the answer you started with.

Lady bird [3.3K]3 years ago

8 0

The answer is 5(x-3) = 50

Proof:

5(x-3) = 50
5(x) + (5)(-3) = 50 (distributive property a(b+c) = ab + ac)
5x + (-15) = 50 (integers. +/- = -)
5x - 15 = 50

Obtained by finding the GCF, which is 5, and then deciding what two terms end up with 5x and -15.

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34kurt

Answer:

$\displaystyle \frac{2(x + 3)}{5x - 2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}$
[Fraction] Factor denominator: $\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}$
[Fraction] Divide: $\displaystyle \frac{2(x + 3)}{5x - 2}$