Answer:
The solution to the set of linear equations is:
[tex](5,-4)[/tex]
Step-by-step explanation:
Hey there!
In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y
[tex]6-2x=-4x+16[/tex]
Now we simplify
[tex]2x=10[/tex] ---> [tex]x=5[/tex]
So now that we know that x is equal to 5, we can find the value of y
let's substitute it in one of the equations
[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]
So now we know that the point where the two equations intersect is:
[tex](5,-4)[/tex]
This is going to be our solution
The graph is in an attachment below
