Question

Enter the correct solution to the system of equations below as an ordered pair.Do not forget to use the format:"(a,b)". Use the "/" as a fraction bar if necessary.
x=-y+3
y=-3x+5

Answer 1

we have 2 functions:

x= function of y f(y)
y=function of x f(x)

we know that the solution of system will make both of these true so at the solution, =we can actually combine the 2 functions:

x= -y+3
y=-3x+5

by substituing y into f(x) we get

x=-(-3x+5)+3

we can simplify this to get:
x=3x -2 we put all of the "x"s on one side:

-2x=-2
x=1

so now we have x, but we still need y we can get this using our equations:

x=-y+3
1-3= -y
-2=-y
y=2

so the solution of out system is going to be (x,y) = (1,2)

Answer 2

Thanks=)