If AE = 8x-3 and EC = 6x + 7 then AC = ?

AC = 14x + 4

Solution:

Given data:

AE = 8x – 3

EC = 6x + 7

To find the length of AC:

AC = AE + EC

     = (8x – 3) + (6x + 7)

     = 8x – 3 + 6x + 7

Arrange like terms together.

     = 8x + 6x – 3 + 7

     = 14x + 4

AC = 14x + 4

Hence the length of AC is 14x + 4.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

move it to the other side

step-by-step explanation: