<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>
Answer:
C
Step-by-step explanation:
Under the translation
(x, y ) → (x + 3, y - 4 )
Add 3 to the x-coordinate and subtract 4 from the y- coordinate of the original points, that is
(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 ) → C
The answer is 14 - x.
If she is 14 now, and the question is looking for her age x years ago, it is basically just asking you to subtract x from 14.
It also can't be x - 14, because that means Susie's age is x and the question is asking for her age 14 years ago, and it can't be 14x, because that's 14 multiplied by x.
Start off by doing
64/1000
that should equal 0.064
0.064 and quare it by 3
0.4
which equals 4/10