I need to find the linear system for the equations 4x+3=y and x=y-2

Question

Any help at all would be great!
And please show me how you did it if possible, thanks!

Answer 1

4 x - 1 y = -3
1 x - 1 y = -2
-------------- subtract
3 x - 0 y = -1
x = -1/3
then y = 4 (-1/3) + 3
y = -4/3 + 9/3
y = 5/3
so (-1/3 , 5/3)

check
4(-1/3) + 3 = -4/3+9/3 = 5/3 right
-1/3 = 5/3 - 2
-1/3 = 5/3 -6/3 right