For the given linear equation in two variables the solution to the system of equations is (-2 , -6).
Given :
[tex]y = x -4[/tex] ---- (1)
[tex]y = 4x +2[/tex] ----- (2)
Linear equations are nothing but yet another subset of "equations". Any linear calculations requiring more than one variable can be done with the help of linear equations.
The standard form of a linear equation in two variables is of the form [tex]ax+by=c[/tex] . Here, x and y are variables, and a, b and c are constants.
From equation (1) and (2) we get,
[tex]x-4 = 4x +2[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]
Now, from equation (1) we get,
[tex]y =-2-4[/tex]
[tex]y = -6[/tex]
The solution to the system of equations is (-2 , -6).
For more information, refer the link given below
https://brainly.com/question/21105092
