For this case we have the following system of equations:
Equating the values of y we have:
From here, we can clear the value of x.
We have then:
Then, we look for the value of y.
For this, we substitute x in any of the equations:
Answer:
The ordered pair solution of the system of equations, is given by:
(23+15x) when you add this you will have your answer
Answer:
Step-by-step explanation:
Your Welcome!
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
x=8
x=-2
Step-by-step explanation:
∣x−3∣+4=9
= ∣x−3∣=5
<u>Positive term: (x-3)</u>
(x-3) = 5
Rearrange and Add up
x = 8
<u>Negative term: -(x-3)</u>
Multiply
-x+3 = 5
Rearrange and Add up
-x = 2
Multiply both sides by (-1)
x = -2
