Math Problem Statement
find an ordered pair (x,y) that is a solution to the equation x-5y=5
Solution
We need to find an ordered pair that satisfies the equation:
To find a solution, we can choose a value for or and solve for the other variable. Let's assume and solve for .
Step-by-step solution:
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Substitute into the equation:
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Simplify:
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Solve for by dividing both sides by :
Thus, the ordered pair is a solution to the equation.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the general solution to the equation ?
- Can you find another ordered pair that satisfies the equation?
- How do you graph the equation ?
- What happens if we set ? What is the corresponding ?
- How can we rewrite this equation in slope-intercept form?
Tip: When solving linear equations, you can choose convenient values for one variable and solve for the other to find different solutions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
x - 5y = 5
Theorems
Basic Solution Method for Linear Equations
Suitable Grade Level
Grades 6-8