Respuesta :
Answer:
(7/2, -5/2)
Step-by-step explanation:
We can solve this multiple ways: Algebraically (Substitution or Elimination) or Graphically
Step 1: Write 1st equation in terms of y
y = 8 - 3x
Step 2: Substitute y of 2nd equation
x - 3(8 - 3x) = 11
Step 3: Solve for x
x - 24 + 9x = 11
10x - 24 = 11
10x = 35
x = 7/2
Step 4: Plug x to find y
3(7/2) + y = 8
21/2 + y = 8
y = -5/2
Answer:
Step-by-step explanation:
let's organize our information :
- 3x+y=8
- x-3y=11
The trick here is to multiply x-3y=11 by -3 then add it to 3x+y=8 to get rid of x and get a normal equation
we get : -3x+9y= (-33)
then after the addition : 3x+y-3x+9y=8-33⇔ 10y=(-25)
so y=(-25)/10= -5/2
- let's replace y by -5/2 in 3x+y=8
- 3x-5/2 =8⇔ x= 21/6
so y= (-5/2) and x= 21/6