Math Problem Statement
5x+10=10y
Solution
The equation is a linear equation in two variables, and . Let's solve for in terms of .
Steps:
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Subtract 10 from both sides to isolate the term with on the right side:
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Rearrange the equation by adding 10 to both sides:
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Divide both sides by 10 to solve for :
Thus, the equation in terms of is:
This equation represents a line with slope and a y-intercept of 0.
Do you have any questions or need further details?
Here are 5 related questions you could explore:
- What is the slope and intercept form of a line?
- How do you find the slope between two points on a line?
- How would you graph the equation ?
- Can we rewrite the equation in terms of ?
- What is the relationship between and for different values of ?
Tip: When solving for one variable in terms of another, always aim to isolate the variable by reversing operations step by step.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Algebra
Slope-Intercept Form
Formulas
y = mx + b
Linear equation formula ax + by = c
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10