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What is the formula of substitution method?

Author

Sophia Carter

Updated on April 03, 2026

What is the formula of substitution method?

A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. We’re going to explain this by using an example. We can substitute y in the second equation with the first equation since y = y.

What is an example of substitution in math?

Example: If x = −2, then what is 1 − x + x2? In that last example: the − (−2) became +2. the (−2)2 became +4.

How do you solve by substitution step by step?

Steps to Solving by Substitution:

  1. Step One→ Solve one equation for either x or y.
  2. Step Two→ Substitute the expression from step one into the 2nd equation.
  3. Step Three→ Solve the second equation for the given variable.
  4. Step Four→ Plug you solution back into the first equation.
  5. Step Five→ Write your solution as a point.

How do you solve math problems with substitution?

The method of substitution involves three steps:

  1. Solve one equation for one of the variables.
  2. Substitute (plug-in) this expression into the other equation and solve.
  3. Resubstitute the value into the original equation to find the corresponding variable.

How do you do substitution in Algebra 2?

To solve using substitution, follow these four steps: Step 1: Isolate a variable. Step 2: Plug the result of Step 1 into the other equation and solve for one variable. Step 3: Plug the result of Step 2 into one of the original equations and solve for the other variable.

What is substituting in math?

Math definition of Substitution: Substitution – A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

What is the first step in the substitution method?

Substitution Method

  1. Substitution method can be applied in four steps.
  2. Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
  3. Step 2: Substitute the solution from step 1 into the second equation.
  4. Step 3: Solve this new equation.

What does substitution mean in math?

putting numbers
Substitution means putting numbers in place of letters to calculate the value of an expression .