Elimination using Multiplication in Algebra

What is elimination using multiplication?

How do we perform elimination using multiplication in algebra?

Answer:

Elimination using multiplication is a technique in algebra that involves multiplying two or more terms together in order to eliminate one or more variables.

In algebra, when we have a system of equations with more variables than equations, we can use elimination using multiplication to solve for one or more variables. This technique allows us to simplify the equations and find the values of the variables involved.

To perform elimination using multiplication, we start by multiplying the two equations together, one variable at a time, using the distributive property. This allows us to eliminate one of the variables from the system of equations.

For example, consider the following system of equations:

2x + 3y = 5

x - 2y = 3

If we want to eliminate the variable y, we can multiply the first equation by 2 and the second equation by 3:

2(2x + 3y) = 2(5)

3(x - 2y) = 3(3)

After simplifying and subtracting the products from the first equation, we can solve for the variable x. In this case, x = 5/16 and y = 40/16 after eliminating the variable y.

This process of elimination using multiplication helps us manipulate the equations to find the solutions to the system of equations by eliminating variables one at a time.