Math Problem Statement
Use the two given functions to write y as a function of x.
yequals
negative 2anegative 1
,
aequals
negative 5xplus 4
Solution
To write as a function of , we need to substitute the given expression for into the equation for .
Step 1: Write down the given equations
Step 2: Substitute into
Substitute into :
Step 3: Simplify the expression
Distribute across :
Combine like terms:
Final Answer:
Would you like me to expand this further or explain the process in more detail?
Here are some related questions you might consider:
- How do we verify if this function is correct?
- Can you graph to visualize its slope and intercept?
- What happens to if is a specific value, like 2 or -3?
- How do you determine the domain and range of ?
- How would the result change if were a different function of ?
Tip: Always double-check substitutions and algebraic simplifications to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Substitution
Simplification
Linear Equations
Formulas
y = -2a - 1
a = -5x + 4
Theorems
Distributive Property
Linear Equation Theory
Suitable Grade Level
Grades 8-10