Subjects algebra

Linear Equations C0Abbb

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1. Let's start by understanding that you want an easy explanation for a math problem suitable for Grade 7. 2. Since you didn't specify a particular problem, I'll explain a common Grade 7 topic: solving simple linear equations. 3. A linear equation looks like this: $$ax + b = c$$ where $a$, $b$, and $c$ are numbers, and $x$ is the variable we want to find. 4. The goal is to find the value of $x$ that makes the equation true. 5. To solve, we use these steps: 1. Subtract $b$ from both sides to isolate the term with $x$: $$ax + b - b = c - b$$ which simplifies to $$ax = c - b$$ 2. Now, divide both sides by $a$ to solve for $x$: $$\frac{\cancel{a}x}{\cancel{a}} = \frac{c - b}{a}$$ which simplifies to $$x = \frac{c - b}{a}$$ 6. This formula tells us how to find $x$ easily. 7. For example, if the equation is $$3x + 4 = 10$$: 1. Subtract 4 from both sides: $$3x + 4 - 4 = 10 - 4$$ $$3x = 6$$ 2. Divide both sides by 3: $$\frac{\cancel{3}x}{\cancel{3}} = \frac{6}{3}$$ $$x = 2$$ 8. So, $x = 2$ is the solution. This method works for any simple linear equation. Keep practicing, and it will become easier!