Solve the system of equations by using substitution. Show all work. List your answer as an ordered pair. 3x+2y=6 and 2/3y-x=6
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➲QUESTION:-
Solve the system of equations by using substitution.
➲SOLUTION:-
USING SUBSTITUTION METHOD:
(1)➥3x+2y=6
➠3x = 6 - 2y
➠x =
(2)➥=6
➠2 = 6(3y - x )
➠2 = 18y -6x
➠6x -18y = 2
➠6 () - 18y = 2
➠- 18y = 2
➠
➠36 -66y = 6
➠66y = 36-6
➠y =
➠y =
sub/:- y = in (1)
➠3x+2y=6
➠3x+2 () = 6
➠3x + () = 6
➠ = 6
➠33x + 10 = 66
➠33x = 66-10
➠33x = 56
➠x =
therefore ,
- x =
- y =
◆ ━━━━━━━━❪✪❫━━━━━━━━ ◆
USING ELIMINATION METHOD :
(1)➜3x+2y=6
(2)➜=6
➠2 = 6(3y - x )
➠2 = 18y -6x
➠6x -18y = 2
by elimination method ,
(1)× 2 ➜6x + 4y = 12
(2) ➜6x -18y = 2
________________
➠22y = 10
➠y =
➠ y =
sub/:- y = in (1)
➠3x+2y=6
➠3x+2 () = 6
➠3x + () = 6
➠ = 6
➠33x + 10 = 66
➠33x = 66-10
➠33x = 56
➠x =
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