Math Problem Statement
Find an ordered pair (x, y) that is a solution to 4x - y = 5.
Solution
The problem in the image is asking for an ordered pair that satisfies the equation:
To find a solution, we need to assign a value to , then solve for . Let's choose as an arbitrary value for , then substitute it into the equation to find .
Substitute into the equation:
This simplifies to:
Now, solve for :
Thus, one solution to the equation is the ordered pair .
The ordered pair is:
Would you like more details or further explanation?
Here are some related questions for practice:
- Find another solution for by choosing a different value for .
- Solve for in terms of for the equation .
- What is the general solution for and if the equation is ?
- If , what is the value of in the equation ?
- How would you check if the ordered pair is a solution to ?
Tip: Always verify your solution by substituting the values of and back into the original equation!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
4x - y = 5
Theorems
-
Suitable Grade Level
Grades 6-8