Hi there!
The way that an infinite number of solutions is achieved is when the two equations, when solved together, get an answer which is just a number equal to the same number. To do this, first substitute 6x-b in for y in the second equation.



Now, we see that b needs to be equal to -3 when multiplied by -1/2. When both sides are divided by -1/2, b becomes equal to 6. Thus, b must be 6.
Check work:




Thus, as they are equal to each other, the answer is correct. b = 6.
Hope this helps!
The total number of handshakes = 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 36
Answer: 36 handshakes
0.6 divided by 12.9.
0.6 is outside the house for the divide then inside the house is 12.6
then you move your decimal point over 1 place so its 06 divide by 126.
after that 6 goes into 12 twice then your have a remainder of 09 then 6 goes into 9 once, our remainder is 3, then you put a 0 at the end of the decimal point of the 126. after that you bring down your zero and 6 goes into 30 five times.
Answer 21.5
Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
<u>By point-slope form:</u>
-
=m(
)
<u>Substitute the values in formula:</u>
<u>y-2=5(x+1)</u> (It is the point slope form)
Now,
<u>Slope intercept form:</u>
y-2=5x+5
y=5x+5+2
<u>y=5x+7</u>
<u />
<h3><u>If you need to ask any questions, please let me know.</u></h3>
Answer:323.72
Step-by-step explanation:
Begin by multiplying 60 by 5 hours.
Then 60 minutes by 0.412