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Natali5045456 [20]
4 years ago
6

5x + 3y = 35 -5x - y = -15

Mathematics
1 answer:
r-ruslan [8.4K]4 years ago
3 0
Solution 1: 5(x) + 3(y) = 35
Solution 2: -5(x) - (y) = -15
_____________________

Your graphic organizer↓
 -5(y) + 5(x) = 35 
(y) - 5(x) = -15
_____________________

Let's work with y-intercept with the absolute value of  |2|
So, 15 becomes a positive number instead of a negative number
→So, (y) = -5(x) + 15
→Make sure you bring into the "x-intercept"& the "y-intercept"  into the equation for the first solution 
                5(x) + 3(-5x) + 15 = 35 
                -10(x) = -10 
                      10(x) = 10 
                     x-intercept =1 
                   y-intercept = 10
___________________________

Make sure that we are correct with intercepts by these quick steps! 

y = -5(x) + 15 
 Y= 5(x) +15 
  y= 5(1) + 15 = 10
So, we are correct with the x and y-intercept 
__________________________
\left \{ {{x=1} \atop {y=10}} \right.

            x-intercept = 1 
            y-intercept = 10 


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Question 1:

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(f_ {0} g) (x) = f [g (x)]

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(f_ {0} g) (4) = 1

Question 2:

For this case, we must find the inverse function of g (x) = \frac {1} {x-3}, given by: g ^ {- 1} (x)

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g ^ {- 1} (x) = \frac {1} {x} +3

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For this case, we have by definition, the domain of a function f (x), is the set of all the values ​​for which the function is defined.

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