The process of finding the value of a variable that will make the equation a true statement is called solving the equation. The value of the variable that satisfies the equation is called the solution of the equation. In particulat the value \( x=4 \) is the solution to the equation above. i.e. \( x=4 \) is said to satisty the equation. Simultaneous equations are ones that must be solved simultaneously (i.e. at the same time) in order to find t' values of the variables that will solve botheruatinos

It seems like you're discussing the concepts of solving equations and simultaneous equations. Let's clarify these concepts step by step. 1. **Solving an Equation**: - When we say we are solving an equation, we are looking for the value of the variable (in this case, \( x \)) that makes the equation true. For example, if we have an equation like \( 2x + 3 = 11 \), we would solve for \( x \) to find its value. 2. **Solution of the Equation**: - The value that satisfies the equation is called the solution. In your example, you mentioned that \( x = 4 \) is a solution. This means that if we substitute \( 4 \) back into the equation, it will hold true. 3. **Simultaneous Equations**: - Simultaneous equations are a set of equations with multiple variables that must be solved together. For example, if we have two equations: \[ \begin{align*} 2x + y &= 10 \\ x - y &= 2 \end{align*} \] - We need to find values for both \( x \) and \( y \) that satisfy both equations at the same time. If you have specific simultaneous equations you'd like to solve, please provide them, and I can help you find the solution!