The solutions of the system of equations are (0 , 13) , (3 , 34)
Step-by-step explanation:
To solve an system of equations, one of them linear and the other is quadratic do that
- Use the linear equation to find one variable in terms of the other variable
- Substitute this variable in the quadratic equation
- Solve the quadratic equation to find the values of the other variable
- Substitute the values of the other variable in the linear equation to find the first variable
The system of equation is:
y = x² + 4x + 13 ⇒ (1)
y = 7x + 13 ⇒ (2)
Substitute y in equation (1) by equation (2)
x² + 4x + 13 = 7x + 13
Subtract 13 from both sides
∴ x² + 4x = 7x
Subtract 7x from both sides
x² - 3x = 0
Take x as a common factor
x(x - 3) = 0
Equate each factor by 0
x = 0
x - 3 = 0
Add 3 to both sides
x = 3
The values of x are 0 and 3
Substitute the values of x in equation (2) to find y
When x = 0
y = 7(0) + 13
y = 0 + 13
y = 13
When x = 3
y = 7(3) + 13
y = 21 + 13
y = 34
The values of y are 13 and 34
The solutions of the system of equations are (0 , 13) , (3 , 34)
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You can learn more about the system of equations in brainly.com/question/3739260
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Answer:
-512
Step-by-step explanation:
Number 1 And 3 both represent odd functions. Please mark brainliest
Step-by-step explanation:
Bir abzas qurmaq üçün 5 addımdan keçək. Hər addım üçün bir izah və nümunə var. Nümunə bəndimiz kölə ruhları haqqında, Afrikalı Amerikalıların köləlik dövründə yaratdığı orijinal mahnılarla əlaqəli olacaq. Model paraqrafı fikrini sübut etmək üçün illüstrasiyadan (nümunələr verməklə) istifadə edir.
Answer:
A
Step-by-step explanation:
Equation
2x + 3x + 8 + 7x - 2 = 90
Solution
Combine like terms on the left
12x + 6 = 90 Subtract 6 on both sides
12x = 90 - 6
12x = 84 Divide by 12
x = 84/12
x = 7
