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How many solutions does the system of equations have? 3x+12y=20 y=-1/4x+5/3 A) one B) two C) infinitely many D) none

How many solutions does the system of equations have? 3x+12y=20 y=-1/4x+5/3 A) one B) two C) infinitely many D) none
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3 votes
How many solutions does the system of equations have?

3x+12y=20
y=-1/4x+5/3
A) one
B) two
C) infinitely many
D) none

User Suriyaa
by
7.8k points

1 Answer

3 votes
The answer is d) none because substituting -1/4x + 5/3 for y in the first equation gives 3x - 3x + 5/3 = 20 so 5/3 = 20 which is not true. 
User Aleksi Yrttiaho
by
7.2k points
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