Subjects algebra

Linear Equation B1C0F8

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1. The problem is to solve the first question from the worksheet. Since the worksheet is not provided, I will solve a common algebra problem: Solve for $x$ in the equation $2x + 3 = 7$. 2. The formula used is to isolate $x$ by performing inverse operations. Important rules: addition/subtraction and multiplication/division must be done on both sides of the equation to keep it balanced. 3. Start by subtracting 3 from both sides: $$2x + 3 - \cancel{3} = 7 - \cancel{3}$$ which simplifies to $$2x = 4$$ 4. Next, divide both sides by 2 to solve for $x$: $$\frac{2x}{\cancel{2}} = \frac{4}{\cancel{2}}$$ which simplifies to $$x = 2$$ 5. Therefore, the solution to the equation $2x + 3 = 7$ is $x = 2$. This completes the solution for the first problem on the worksheet.