##### Asked by: Gharib Mertxika

asked in category: General Last Updated: 5th April, 2020# How do you check your answer in substitution?

**check a**system of equations by

**substitution**, you plug

**your**values

**for**x and y into

**the**original equations. If both simplified expressions are true then

**your answer**is correct. Since x=2 and y=−3 worked

**for**both equations I know that (2,−3) is

**the**solution to this system of equations.

In respect to this, how do you solve system of equations?

**Here's how it goes:**

- Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y:
- Step 2: Substitute that equation into the other equation, and solve for x.
- Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

Additionally, what is the meaning of substitution 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.

Hereof, what is substitution math example?

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**. y=2x+4. 3x+y=9.

What are the 3 methods for solving systems of equations?

Algebra 1 **Substitution Method** The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices. Substitution and elimination are simple methods that can effectively solve most systems of two equations in a few straightforward steps.