Answer:

Step-by-step explanation:
We are given quadratic equations as

and it can be factored as

now, we can multiply factor term

now, we can compare

so, we get


we are given that
'a' and 'b' are integers
so, we can find all possible factors


so, we can find k
At
:

we can plug values


At
:

we can plug values


At
:

we can plug values


At
:

we can plug values


So, values of k are

HCF is 6
That should be your answer
Prayers xx
Let the number of $1 bill be x and $5 bill be y
x=5y
5y+y=48
6y=48
x=40
y=8
number of $1 bill= 40
number of $5 bill = 8
The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
<h3>How to simplify algebraic equations?</h3>
We want to simplify the algebraic equation;
1000(7x - 10) = 50(292 + 100x)
The first step is to use distributive property of equality to expand the bracket to get;
7000x - 10000 = 14600 + 5000x
7000x - 5000x = 14600 + 10000
2000x = 24600
Use division property of equality to divide both sides by 2000 to get;
x = 24600/2000
x = 12.3
Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3
Read more about algebraic equations at; brainly.com/question/723406
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