Question

Y=2x+6 and y=-3x+16 for solving the system

Answer 1

Substitution

Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.

Step 2: Plug in 2x + 6 into the opposite equation.

   2x + 6 = -3x + 16
         - 6              - 6
------------------------------
   2x = -3x + 10
+ 3x  + 3x
------------------------------
   5x  =  10
 ------   ------
    5        5

x = 2

Step 3: Plug in the x value into either equation.

y = 2(2) + 6
y = 4 + 6
y = 10

The final answer gets expressed as a coordinate pair: (x,y) (2,10)

I hope this helps you :)