🧮 algebra

1. Diketahui sistem persamaan linear tiga variabel: $$\begin{cases} 2x + y + 2z = 24 \\ 3x + 3y + z = 30 \\ 2x + 3y + 3z = 38 \end{cases}$$

**Problem:** Find the equation of a line passing through the points (1, 2) and (3, 6). 1. Calculate the slope $m$ of the line using the formula:

1. Let's start by stating the problem: Solve the inequality $$-5(u - 19) \leq -11 + 2u$$. 2. Begin by distributing the -5 on the left side:

1. ප්‍රශ්නය දැක්වේ: බහුප්‍රදය $$f(x)$$ $$ (x - a)(x - b)(x - c) $$ මගින් බෙදී සිට $$P(x - b)(x - c) + q(x - a)(x - c) + r(x - a)(x - b)$$ ලෙස ලියැවිය හැකිය. මෙහිදී, $$p$$, $$q$$ හ

1. We are asked to evaluate each of the following expressions using the order of operations (GMDAS: Grouping, Multiplication/Division (left to right), Addition/Subtraction (left to

1. Stating the problem: Solve the equation $$\frac{x^2 - x}{x^2 - x + 1} - \frac{x^2 - x + 2}{x^2 - x - 2} = 1$$ for $x$. 2. Identify the denominators and find restrictions: Denomi

1. The user requested an easy math problem but did not specify a topic or type. 2. Let's provide a simple algebra example to demonstrate basic skills.

1. **State the problem:** Simplify and solve the equation $$x^2 - x - \frac{x^2 - x + 2}{x^2 + 1} + \frac{x^2}{x - 2} = 1$$ for $x$. 2. **Rewrite the equation:** To solve, get all

1. **State the problem:** We are given the system of linear equations: $$x + y + z = 6$$

1. The given expression is $28xy - 12x$. 2. To simplify, we look for the greatest common factor (GCF) of the terms.

1. **State the problem:** Solve the equation $$\frac{24}{x^2 + 2x - 8} - \frac{15}{x^2 + 2x - 3} = 2$$ for the variable $x$.\n\n2. **Factor the denominators:**\n\- Factor $x^2 + 2x

1. Planteamos el problema: desarrollar la expresión $$\log(z^{3} \sqrt{x^{5} y})$$ usando propiedades logarítmicas, sin radicales ni exponentes dentro del logaritmo. 2. Recordemos

1. The problem asks us to find the cube of a whole fraction. A whole fraction means a fraction where the numerator and denominator are whole numbers. 2. Let's say the fraction is $

**A. Find the perfect cubes of the following numbers.** 1. Calculate $10^3=10 \times 10 \times 10=1000$.

1. Solve $$\frac{2x}{x+6} \geq 1$$ Step 1: Move all terms to one side:

1. The problem is to find the cube of a fraction, which means raising the fraction to the power of 3. 2. Let the fraction be $\frac{a}{b}$, where $a$ is the numerator and $b$ is th

1. We are given a system of two equations with variables $m$ and $n$: $$\frac{m}{2} + \frac{n}{3} - \frac{13}{6} = 0$$

1. Stating the problem: We know the battery was charged from 23% to 89% over 30 minutes.

1. Mari kita nyatakan harga sebuah pensil sebagai $x$. 2. Karena harga sebuah buku adalah 3 kali harga sebuah pensil, maka harga sebuah buku adalah $3x$.

1. **State the problem:** Solve for $b$ in the equation $$2b - 7 = \frac{1}{3}b + 3$$. 2. **Isolate variable terms:** Subtract $\frac{1}{3}b$ from both sides to get all $b$ terms o

1. We are given the function $p(u) = u^3 - 3u^2 + 4u$ with $u$ in meters. The problem involves understanding this cubic function and its interaction with the factor $(u - 2)$, whic