Subjects algebra

Linear Equation Ceb388

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1. The problem is to solve a grade 10 level algebra question. Since no specific problem was given, let's consider a common algebra problem: solving a linear equation. 2. Suppose the problem is to solve for $x$ in the equation $2x + 3 = 11$. 3. The formula used here is to isolate $x$ by performing inverse operations. Important rules: whatever you do to one side of the equation, you must do to the other side to keep it balanced. 4. Start by subtracting 3 from both sides: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$ 5. Next, divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{8}{2}$$ which simplifies to $$x = 4$$ 6. Therefore, the solution to the equation $2x + 3 = 11$ is $x = 4$. This method can be applied to similar linear equations to find the value of the unknown variable.