🧮 algebra

1. **State the problem:** Solve the equation $X = \frac{7}{2} - y$ for $y$. 2. **Isolate $y$:** To solve for $y$, we want to get $y$ alone on one side of the equation.

1. Persamaan linear dua variabel adalah persamaan yang melibatkan dua variabel, biasanya $x$ dan $y$, dan berbentuk garis lurus ketika digambarkan pada bidang koordinat. 2. Bentuk

1. **State the problem:** Simplify the expression $\frac{2}{3} + \frac{3}{6}$.\n\n2. **Recall the rule for adding fractions:** To add fractions, they must have a common denominator

1. مسئله: بررسی اینکه آیا $x$ به توان $-n$ برابر است با چه مقداری. 2. فرمول اصلی: برای هر عدد حقیقی $x \neq 0$ و عدد صحیح مثبت $n$، تعریف توان منفی به صورت زیر است:

1. **State the problem:** Simplify the expression $\left(4 \frac{1}{15} - 3 \frac{9}{10}\right) \times 6 \frac{6}{7} + 2$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** Solve the system of equations using the elimination method: $$\begin{cases} 2x + 3y = 12 \\ 2x + 3y = 1 \end{cases}$$

1. **Problem:** A trader sold a wrist watch for 3150 after giving a 10% discount. Find the marked price of the watch. 2. **Formula:** The selling price (SP) after discount is given

1. **Énoncé du problème :** Nous avons une suite $(u_n)$ définie par :

1. **Problem:** A trader sold a wrist watch for 3150 after giving a 10% discount. Find the marked price of the watch. 2. **Formula:** The selling price (SP) after discount is relat

1. **Énoncé du problème :** Calculer la suite $(v_n)$ puis la suite $(u_n)$ en fonction de $n$, où $v_n = \frac{7}{8} u_n^3 - \frac{1}{8}$.

1. **State the problem:** Evaluate the expression $$5 \frac{27}{3} \times \left(\frac{81}{16}\right)^{-\frac{1}{4}}$$ and simplify the expression $$\frac{1}{6.43 \times 6.43} + \fr

1. **State the problem:** We need to find the equation of a parabola in vertex form that passes through points $(-4,3)$ and $(2,3)$ and has a maximum value of 10. 2. **Recall the v

1. **State the problem:** Find the gradient and the coordinates of the x and y intercepts of the line given by the equation $$2y - 3x = 1$$. 2. **Rewrite the equation in slope-inte

1. **State the problem:** We are given that five times the number $34_x$ equals the number $214_x$, and we need to find the base $x$. 2. **Understand the notation:** The subscript

1. **State the problem:** Given the equation $2A - B = 30$ and $B = 4$, find the value of $A - 13$. 2. **Substitute the known value:** Replace $B$ with 4 in the equation:

1. **State the problem:** We are given the equation $14 \times 25 = (Y \times 5) + 50$ and asked to find the value of $Y - 15$. 2. **Calculate the left side:** Multiply 14 by 25.

1. **Problem statement:** The sum of the present ages of a father and son is 80 years. When the father's age was equal to the present age of the son, their combined ages summed to

1. **State the problem:** Given the equation $21 - x = y - 5 = 15$, find the value of $x - y$. 2. **Understand the equation:** The expression $21 - x = y - 5 = 15$ means both $21 -

1. **State the problem:** The sum of the present ages of a father and son is 80 years. When the father's age was equal to the present age of the son, the sum of their ages was 40 y

1. **Problem statement:** The sum of the present ages of the father and son is 80 years. We need to find their present ages given additional information (which is incomplete in the

1. Let's start by stating the problem: We want to understand the difference between an Arithmetic Progression (AP) and a Geometric Progression (GP). 2. An Arithmetic Progression (A