To solve Linear Equations by cross-multiplication method, we bring all the terms to the left hand side in the first step. For example, if we have equations and , we write them as:
In general we can say that equations have to be in form:
Let's suppose that we want to solve equations:
To solve the above equations by cross-multiplication method, we do following:
At this point we can make two equations. One equation can be used to solve for and the other one can be used to solve for .
Two equations are:
Now let's take an example, we have two equations to solve:
In the first step, we bring terms present on the right hand side to the left hand side.
Using cross multiplication method, we write
and (This is the solution)
Let's do one more example for good understanding.
I have following equations to solve:
In the first step, we bring terms present on the right side to the left side.
Using cross-multiplication method, we can write
Therefore, and (This is the solution)