# Solving equations by substitution

There are two ways to solve equations. One way is to find values for one of the variables that makes the equation true and then substitute those values into the equation. The other way is to use substitution, which works like this: You replace each variable with a related value.

## Solve equations by substitution

For example, if you want to solve 2x + 3 = 4x – 2, you could look at its parts: x represents “two” and 4 represents “four”. So, 2x + 3 = 4(2) + (3) = 8 + 3 = 11. This would be an easier solution if you had a calculator handy! Substitution is useful when the value you need isn’t in your head or the equation. It allows you to find more easily the difference between two numbers or the sum of two numbers. When working with fractions, it's important to remember that when multiplying or dividing fractions, we must keep in mind that terminators count from the least to greatest denominator and numerators count from least to greatest numerator. When adding or subtracting fractions, we must keep in mind that terminators count from least to greatest denominator and numerators count from least to greatest denominator.

The solution method for solving equations by substitution involves replacing one or more unknown values with a value that is already known. When entering an equation into Excel, you can simply type in the value you want to substitute into the cell you are working on. For example, if you have an equation of “5 + 4 = ?”, you could simply enter “8” and hit enter to automatically solve the equation. The problem with this method, however, is that it may not always be possible to solve an equation by simply substituting a known value into it. If you do not know the exact value of one of the variables in your equation, there may not be any way to accurately substitute a specific number as needed. When attempting to solve equations by substitution, make sure that you test your solution first. This can be done by changing the equation slightly while still keeping all of the other variables equal. If your new equation is essentially equal to your original one then you can almost certainly trust your answer to be correct.

S ys- for the Excel acronym for "Solve equations by substitution" means that instead of solving a system of equations with x and y variables, you replace x in one equation with y in another. For example, if you have two equations: You can substitute the value of x in equation 1 into the equation 2 to solve for y. This is known as substitution. Solving this way is useful when you have less information than you need to solve an equation and it's difficult to find the solution with just a few numbers. Another example would be if you know that the variable x is going up, but you don't know by how much. You could use substitution to find out how much it's going up by substituting all possible values of x into your original equation, then do some math to find the answer.

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