Answer:
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Answer:
14,16
Step-by-step explanation:
Let x be the first even number.
Let y be the 2nd even number.
Given, y - x = 2 (Since they are 2 consecutive even numbers.)
rearranging the equation: y = x+2 (equation 1)
Also given,
(equation 2)
Now we can substitute equation 1 into equation 2 to find x.
Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.
y = 14+2
= 16
Therefore the 2 numbers are 14 and 16.
I see you want to solve -2x + y + 6 = 0 2x + y - 8 = 0 simultaneously. Next time, please put each equation on its own line, like this:
-2x + y + 6 = 0
2x + y - 8 = 0
or separate the two equations with "and" or some other symbol.
We can easily eliminate x by adding these 2 equations together:
-2x + y + 6 = 0
2x + y - 8 = 0
-------------------
2y - 2 = 0, which yields y = 1. This is the equation called for in this problem. You were not asked to find x.
Let 1st integer = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0
We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
First find their rates...
1/6, 1/2, and 1/3 now combined they will perform the job in one day if:
t/6+t/2+t/3=1 make all have a common denominator
t/6+3t/6+2t/6=6/6 which is equal to:
6t=6 so
t=1
So if they all work together they will complete the job in one day.
