# How do you do elimination with two equations?

**The Elimination Method**

- Step 1: Multiply each
**equation**by a suitable number so that the**two equations**have the same leading coefficient. - Step
**2**: Subtract the second**equation**from the first. - Step 3: Solve this new
**equation**for y. - Step 4: Substitute y =
**2**into either**Equation**1 or**Equation 2**above and solve for x.

Also question is, how do you solve equations using elimination?

In the **elimination** method you either add or subtract the **equations** to get an **equation** in one variable. When the coefficients of one variable are opposites you add the **equations** to eliminate a variable and when the coefficients of one variable are equal you subtract the **equations** to eliminate a variable.

Also, 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.

Regarding this, what do you mean by elimination?

**Elimination** is the process of getting rid of something, whether it's waste, errors, or the competition. **Elimination** comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.

Why does the elimination method work?

The **Elimination Method**. The **elimination method** for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. And since x + y = 8, you are adding the same value to each side of the first equation.