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How doI solve system of equations by substitution?
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
What is a piece of evidence used to solve a mystery or problem?
A piece of evidence used to solve a mystery or problem is typically referred to as a "clue." Clues are specific details or information that provide insight into the situation at hand, helping to unravel the mystery or address the problem. These can include physical evidence, witness statements, documents, or any other relevant information that sheds light on the issue being investigated. Analyzing and interpreting clues is a crucial aspect of problem-solving and detective work.
How do you solve an equation with two different variables on one side?
You decide to solve for one of the variables, for example, for "y". What exactly you do would depend on how the variables are related. For example, if you have:x + y = 5 and you want to solve for "y", you subtract "x" on both sides. If you have a product, such as: xy = 10 you divide both sides by "x".
With the substitution method which variable should you solve for first?
It often doesn't matter which one you solve for first. But if you can easily solve one of the equations for one of the variables, that's the one you should solve for.
How do you solve a differential equation for x?
Another method to solve differential equation is taking y and dy terms on one side, and x and dy terms on other side, then integrating on both sides.This is a general solution. So if we want to particular solution we choose initial conditions.
