Answer:
6x+2
Step-by-step explanation:
<h2>Steps:</h2>
(Let x = greater number and y = lesser number)
So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:
![x=y+7\ \textsf{("The greater of the numbers is 7 more than the lesser.")}\\3x=4y+5\ \textsf{("Three times the greater number is 5 more than 4 times the lesser number.")}](https://tex.z-dn.net/?f=x%3Dy%2B7%5C%20%5Ctextsf%7B%28%22The%20greater%20of%20the%20numbers%20is%207%20more%20than%20the%20lesser.%22%29%7D%5C%5C3x%3D4y%2B5%5C%20%5Ctextsf%7B%28%22Three%20times%20the%20greater%20number%20is%205%20more%20than%204%20times%20the%20lesser%20number.%22%29%7D)
So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:
![3(y+7)=4y+5](https://tex.z-dn.net/?f=3%28y%2B7%29%3D4y%2B5)
From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:
![3y+21=4y+5](https://tex.z-dn.net/?f=3y%2B21%3D4y%2B5)
Next, subtract 3y on both sides of the equation:
![21=y+5](https://tex.z-dn.net/?f=21%3Dy%2B5)
Lastly, subtract 5 on both sides of the equation:
![16=y](https://tex.z-dn.net/?f=16%3Dy)
Now that we know the value of y, we can substitute it into either equation to solve for x:
![x=16+7\\x=23\\\\3x=4(16)+5\\3x=64+5\\3x=69\\x=23](https://tex.z-dn.net/?f=x%3D16%2B7%5C%5Cx%3D23%5C%5C%5C%5C3x%3D4%2816%29%2B5%5C%5C3x%3D64%2B5%5C%5C3x%3D69%5C%5Cx%3D23)
<h2>Answer:</h2>
<u>In short, 16 is the lesser number and 23 is the greater number.</u>
It is the paid price with tax included. To calculate the total with tax included, you need the original price plus the amount of tax. If tax is 10 percent, it will be ten cents per dollar. 15.85(1+0.10) = 17.43
P = 2× (24m) + 2× (19.6m)
= 48m + 39.2m
= 87.2 m
A = 24m × 19.6m
= 470.4 m^2