In this item, we are given with a system of linear equation as written below.
y = 0.5x + 3.5
y = -2x/3 + 1/3
To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
0.5x + 3.5 = -2x/3 + 1/3
Multiply the equation by 6.
3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
(3x + 4x) = 2 - 21
7x = -19
Divide the equation by 7,
x = -19/7
The value of y,
y = (0.5)(-19/7) + 3.5 = 15/7
<em>ANSWER:</em>
<em> x = -19/7</em>
<em> y = 15/7</em>
Answer:
4 and -4
Step-by-step explanation:
n^-2 = 1/16
Negative power rule:
(4)^-2 = 1/4²
= 1 /16
(-4)^-2= (-1)²/4²
= 1 /16
Answer:
x≠-3 or x<-3 and -3<x or (∞,-3) and (-3,∞)
Step-by-step explanation:
If the expression you have given is 
then the domain is x≠-3
This is because in a function that is a fraction the denominator can never equal 0, otherwise you are dividing by 0 which is undefined.
Here the denominator is x+3 and so to find the undefined value of x:
Set x+3 equal to 0:
x+3=0
Subtract 3:
⇒ x=-3
That value is undefined since it results in the division of 0 which also means that it is not in the domain.
Answer:
$57.12
Step-by-step explanation:
47.60(1.20)=$57.12
All you need to do is convert all equations into standard form by using the distributive property on each equation.
