Hello there!
The question asks us to solve using the substitution method. The equations given are:


We are given a value for y, which is x-8. Substituting
into the first equation of the system of equation gives us:


Use the distributive property to help simplify and solve for x

Combine like terms

Add 24 to both sides


Finally, divide both sides by 5

Now, let's use
in the equation
to find the value of y



Now, we have the values x=5 and y=-3. Putting these values into an ordered pair gives us the answer (5,-3), which is the last answer choice.
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:

Step-by-step explanation:
Given


Required
Determine side x
The hypotenuse (H) is calculated using:


Substitute 9 for x:



So:


Answer: Hope this helps you
Answer:
x = 5.25
Step-by-step explanation:
We are given the equation;
4x-9(-3)=-48
Opening the brackets
4x + 27 = 48
Combining the like terms together
4x = 48 -27
4x = 21
Solving for the value of x
x = 21 ÷ 4
= 5.25
Thus, the value of x is 5.25
Answer:
Proved
Step-by-step explanation:
Solving (a):
Let the numbers be: 
Their sum is:

Collect Like Terms


Divide sum by 3.




<em>Hence, this is true because there is no fractional part after the division</em>
<em></em>
Solving (b):
Let the numbers be: 
Their sum is:

Collect Like Terms


Divide sum by 5.



<em>Hence, this is true because there is no fractional part after the division</em>
<em></em>
Solving (c):
Let the numbers be: 
Their sum is:

Collect Like Terms


Divide sum by 4.

Split


<em>The 1.5 means that the sum can not be divisible by 4</em>