Question

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

Answer 1

2 x = - 10 y + 6
x + 5 y = 3
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2 x + 10 y = 6
x + 5 y = 3 / · ( - 2 )
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2 x + 10 y = 6
+
- 2 x - 10 y = - 6
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0 · x = 0
x , y ∈ R
Answer: C ) infinitely many solutions

Answer 2

Hello,

Answer C : infinity solutions
since
2x=-10y+6==>2x+10y=6==>x+5y=3
x+5y=3
The equations are the same.