First we are going to express both equation in terms of
![y](https://tex.z-dn.net/?f=y)
to compare their slopes:
For our first equation:
![-x=1-y](https://tex.z-dn.net/?f=-x%3D1-y)
![-x-1=-y](https://tex.z-dn.net/?f=-x-1%3D-y)
![y=x+1](https://tex.z-dn.net/?f=y%3Dx%2B1)
For our second equation:
![-1+y=x+2](https://tex.z-dn.net/?f=-1%2By%3Dx%2B2)
![y=x+3](https://tex.z-dn.net/?f=y%3Dx%2B3)
So now we have our system of equations in terms of y:
![\left \{ {{y=x+1} \atop {y=x+3}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7By%3Dx%2B1%7D%20%5Catop%20%7By%3Dx%2B3%7D%7D%20%5Cright.%20)
Notice that the slope, the coefficient of
![x](https://tex.z-dn.net/?f=x)
, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.
We can conclude that we can classify the system of equations as
parallel.
Answer:
<em>The sum of 4 consecutive odd number is 80</em>
<em>Let X be the first of these numbers</em>
<em>Then the next odd number is X+2</em>
<em>The third is X+4The fourth is X+6</em>
<em>All of these add up to 80</em>
<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>
<em>Using the commutative and associative laws, let's transform this equation into</em>
<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>
<em>Subtract 12 from both sides of the equation gives4X = 68</em>
<em>Divide both sides by 4 gives</em>
<em>X = 17</em>
<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>
Answer: is it on chart? if count rise over run
Step-by-step explanation:
Answer:
a) 5:3
b) 7.5:5.3
Step-by-step explanation:
150min : 90min (1 and a half hour)
10 : 6
5 : 3
150 × 10 mm : 1060 mm
1500 : 1060
750 : 530
7.5 : 5.3
Answer:
25%
Step-by-step explanation:
customer paid = 9492
less vat (13%) .net =8400
discount =16%==marked price = 8400X 100/84==10,000
profit on sale =5% . cost :=8000
% on cost (2000/ 8000) X100 =25%