Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
<span>C. No, because although the results differ among the four surveys, the sample method used for all was the same. Luc RANDOMLY selects 40 students in every survey. Random selection in surveys do not create bias and the results are highly credible. This is because there are no preconceived notions or factors that affect the responses of people being surveyed.</span>
900-2*x>500
2x<900-500
2x<400
x<200
Answer:Beth can ride the bus less 200 times
