System solving 2x-4y = 12 x+3y = 3
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calendarEducator since 2010
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You can use substitution to solve the system of equations
2x - 4y = 12 ...(1)
x + 3y = 3 ...(2)
From (2), x + 3y = 3
=> x = 3 - 3y
Substitute this in (1)
2*(3 - 3y) - 4y = 12
=> 6 - 6y - 4y = 12
=> 6 - 10y...
(The entire section contains 2 answers and 112 words.)
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calendarEducator since 2009
write35,413 answers
starTop subjects are History, Literature, and Social Sciences
We'll solve the system using elimination method.
We'll multiply the 1st equation by 3:
6x - 12y = 36 (3)
We'll multiply the 2nd equation by 4:
4x + 12y = 12 (4)
We'll add (3) + (4):
6x - 12y + 4x + 12y = 36 + 12
We'll combine and eliminate like terms:
10x = 48
x = 4.8
We'll substitute x in the 2nd equation:
4.8 + 3y = 3
3y = 3 - 4.8
3y = -1.8
y = -1.8/3
y = -0.6
The solution of the system is the pair (4.8 ; -0.6).
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