How many solutions does the system of equations have?
2x = –10y + 6 and x + 5y = 3
A. one
B. two
C. infinitely many
D. none
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To solve this system, we can use substitution or elimination. Let's use substitution:
2x = –10y + 6
x = –5y + 3/2 (divide both sides by 2)
Now substitute this expression for x in the second equation:
–5y + 3/2 + 5y = 3
3/2 = 3
This is a contradiction, so there are no solutions to the system.
Answer: D. none