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Mathematics
Jovanny Farrell
22 May, 17:20
Solve the simultaneous equations 3x+y=8 X-3Y=11
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Julia Hickman
22 May, 18:59
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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
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Meyers
22 May, 19:32
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(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
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