<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:

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:

From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:

Next, subtract 3y on both sides of the equation:

Lastly, subtract 5 on both sides of the equation:

Now that we know the value of y, we can substitute it into either equation to solve for x:

<h2>Answer:</h2>
<u>In short, 16 is the lesser number and 23 is the greater number.</u>
Answer:
8
Step-by-step explanation:
8multiple by 8 is 64. to find an answer we will do the 8×8=64
Answer:
2x - 10
Step-by-step explanation:
'x' = amount David has
Alexis = 2x - 10
Answer:
3(- 6 + m)(- 4 + m)
Step-by-step explanation:
Given
72 - 30m + 3m² ← factor out 3 from each term
= 3(24 - 10m + m²)
To factor the quadratic
Consider the factors of the constant term ( + 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 6 and - 4, since
- 6 × - 4 = 24 and - 6 - 4 = - 10, hence
24 - 10m + m² = (- 6 + m)(- 4 + m) and
72 - 30m + 3m² = 3(- 6 + m)(- 4 + m) ← in factored form