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.
Answer:
Step-by-step explanation:
1/4 x 20x - 1/4 x 28<2x - 6 + 2
5x - 28/4<2x - 4
5x - 2x<-4 + 28/4
3x<-4/1 + 28/4
3x<-16 + 28/4
3x<12/4
3x<3
3x/3<3/3
x<1
Answer:
2x-7
Step-by-step explanation:
