The cross-multiplication method is a technique used to solve a system of two linear equations in two variables. This method involves multiplying the constan...
The cross-multiplication method is a technique used to solve a system of two linear equations in two variables. This method involves multiplying the constants associated with the variables in the two equations to get a single, determinant value.
Let's consider the following system of linear equations:
Equation 1: 2x + 3y = 7
Equation 2: 4x - y = 2
To solve this system using the cross-multiplication method, we multiply the constants of the variables in the two equations:
Cross-multiplication:
(2)(4) = 8
(3)(-(-1)) = 3
By multiplying these two values together, we get the following determinant:
(2)(4) - (3)(-(-1)) = 8 + 3 = 11
Therefore, the solution to the system of equations is x = 1 and y = 3