In the given system of equations, the value of x is 7.334 and the value of y is 7.714
<h3>Solving system of linear equations</h3>
From the question, we are to solve the given system of linear equations
The given system of linear equations is
3x + 7y = 76 ------------ (1)
9y + 5y = 108 ------------ (2)
From equation (2), solve for y
9y+ 5y = 108
14y = 108
y = 108/14
y = 7.714
Substitute the value of x into equation (1), to determine the value of x
3x + 7y = 76
3x + 7(7.714) = 76
3x + 53.998 = 76
Subtract 53.998 from both sides of the equation
3x + 53.998 - 53.998 = 76 - 53.998
3x = 22.002
Divide both sides of the equation by 3
3x/3 = 22.002/3
x = 7.334
Therefore,
x = 7.334 and y = 7.714
Learn more on Solving system of linear equations here: brainly.com/question/13729904
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Answer:
$70
Step-by-step explanation:
Daria's total income = fixed income + variable income
Let
Daria's Fixed income = x
additional $30 if the buyer gets an extended warranty
Daria's variable income = 30s
Where,
s = number of televisions with extended warranties she sells
If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income
Daria's total income = fixed income + variable income
1500 = x + 30(15)
1500 = x + 450
1500 - 450 = x
1,050 = x
x = $1,050
Daria's total fixed income = $1,050
How much is the fixed amount Daria for each television?
Fixed income per television = Total fixed income / number of television sold
= 1050 / 15
= 70
Fixed income per television = $70
For this case we have that the expression in its exact form is the same, that is:
If it is expressed in decimal form we have:
If we want equivalent expressions, we must first mention the following property of powers and roots:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:
Answer:
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