🧮 algebra

1. **State the problem:** Simplify the expression $$\frac{1}{6} \times \left(\frac{4}{5} - \frac{1}{3}\right)^{2^5} \div \frac{1}{5}$$ given the intermediate steps. 2. **Recall the

1. Stating the problem: Simplify the expression $$\frac{1}{6} \times \left(\frac{4}{5} - \frac{1}{3}\right) \div \frac{1}{5}$$. 2. Calculate the subtraction inside the parentheses:

1. The problem is to solve the inequality $$\omega - 6(4x + 6) < \sqrt{-111}$$. 2. Note that the square root of a negative number, such as $$\sqrt{-111}$$, is not a real number. Si

1. **State the problem:** Solve the system of inequalities: $$y < -2$$

1. The problem is to solve the inequality $Y < -2$. 2. This inequality states that the variable $Y$ must be less than $-2$.

1. **State the problem:** Simplify the expression $$\left(\frac{8}{9} - \frac{2}{3} + \frac{5}{8}\right) \div \frac{1}{3}$$. 2. **Find a common denominator for the terms inside the

1. **State the problem:** Solve the system of linear equations: $$-4x + y = -4$$

1. **State the problem:** Solve the system of linear equations: $$-x + y = 4$$

1. **Stating the problem:** We have an inverse proportional relationship between the number of friends $x$ and the money $y$ given by the equation $$y = \frac{480}{x}.$$ We want to

1. **State the problem:** We want to find out how much each person pays when the total cost of renting a car is 480 and the number of friends sharing the cost varies. 2. **Understa

1. **State the problem:** We need to find the price of a senior citizen ticket ($y$) and a child ticket ($x$) given two days of ticket sales.

1. **State the problem:** Find the price of a senior citizen ticket and the price of a child ticket given the system:

1. **Énoncé du problème** : On a la fonction $g(x) = \frac{2}{5x}$ et on veut la réécrire sous la forme $g(x) = \frac{k}{x}$. Ensuite, on doit résoudre l'équation $\frac{2}{5x} = \

1. **State the problem:** Solve the equation $$\frac{x+5}{2-x} = 6$$. 2. **Formula and rules:** To solve a rational equation like this, multiply both sides by the denominator to el

1. **State the problem:** Simplify the expression $8 (4+5)$. 2. **Apply the order of operations:** First, solve the expression inside the parentheses.

1. **State the problem:** Simplify the expression $3(4t+3s) - 5(t-2s)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside.

1. **State the problem:** Solve the system of linear equations: $$\begin{cases} 5x + 9y = -10 \\ 7x + 10y = -1 \end{cases}$$

1. **State the problem:** Simplify the expression $x^2 - 2x + 3 + 2x^2 + 4x - 5$. 2. **Combine like terms:** Group the $x^2$ terms, the $x$ terms, and the constant terms separately

1. **State the problem:** Solve the inequality $x - 19 \leq 81$ for $x$ when $x = 110$. 2. **Write the inequality:**

1. **Problem:** Determine if $x=18$ makes the equation $6x=108$ true. 2. **Step 1:** Substitute $x=18$ into the equation:

1. El problema es encontrar los valores de cada incógnita usando el método de Gauss-Jordan. 2. El método de Gauss-Jordan consiste en transformar la matriz aumentada del sistema de