🧮 algebra

1. **Problemstellung:** Gegeben ist das Gleichungssystem: $$x \cdot y = 12$$

1. The problem is to solve for $x$ given the $y$ values: 0.303, 0.228, 0.1995, 0.269, 0.188, 0.1905, 0.1895, 0.18. 2. To solve for $x$, we need a function or equation relating $y$

1. **State the problem:** We need to solve the quadratic equation $$y = -7 \times 10^{-6} x^2 + 0.0028 x + 0.0899$$ for $x$ given different values of $y$: 0.1, 0.0855, 0.0845, 0.08

1. The problem is to find the value of $x$ in the equation $$\frac{2x+3}{4} = 5.$$ 2. The formula used here is to solve for $x$ by isolating it on one side of the equation. We do t

1. **Énoncé du problème :** Calculer le déterminant des vecteurs $\vec{u}$ et $\vec{v}$ dans les deux cas suivants et déterminer s'ils sont colinéaires.

1. **Problem:** Explain the 4 quadrants and how they relate to positive and negative values. 2. **Formula / rule:** A point $\left(x,y\right)$ on the coordinate plane is classified

1. **Problem:** Explain the 4 quadrants of the coordinate plane for **positive** and **negative** values. 2. **Formula/rule:** In the coordinate plane, a point is written as $ (x,y

1. Let’s name the pictures. 🍎 = apple

Let's solve this step by step! 🎉 **Step 1:** Imagine you have apples 🍎 and bananas 🍌 and coconuts 🥥.

1. **State the problem:** Solve the system of linear equations: $$2x + y = 8$$

1. **Problem:** What is the difference between **union** and **intersection** in sets? 2. **Union means “or”:** The union of two sets, written as $A \cup B$, means all elements tha

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** We are given two equations: $$2x + 3y = 7$$

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$\begin{cases} 2x + y = 8 \\ 2x - y = 12 \end{cases}$$

1. **State the problem:** Solve the system of linear equations for $x$ and $y$: $$2x + y = 8$$

1. **State the problem:** We need to find the value of $x$ such that $f(x) = 4$ given the function $f(x) = 2x + 2$. 2. **Write the equation:** Set the function equal to 4:

1. **State the problem:** Solve the equation $16 - 2t = 5t + 9$ for $t$. 2. **Write down the formula and rules:** To solve for $t$, we need to isolate $t$ on one side of the equati

1. **State the problem:** Simplify the expression $$\frac{x^2 - 25}{x^2 + 5x} \div \frac{xy + 6x - 5y - 30}{5x - 15}$$. 2. **Rewrite division as multiplication by reciprocal:**

1. **State the problem:** Simplify the expression $$\frac{x^2-25}{x^2+5x} \div \frac{xy+6x-5y-30}{5x-15}$$. 2. **Rewrite division as multiplication:** Dividing by a fraction is the

1. **State the problem:** Simplify the expression $$\frac{x^2 - 25}{x^2 + 5x} \div \frac{xy + 6x - 5y - 30}{5x - 15}$$. 2. **Rewrite division as multiplication by reciprocal:**

1. The problem asks to identify which equations show $y$ in a proportional relationship with $x$. 2. A proportional relationship means $y$ is directly proportional to $x$, which ca