Math Problem Statement
If solving for x and y in a system, and you substitute x = 3 into y = 2x + 1, what is y?
Solution
Let's break down the problem.
We are given the equation:
and are told to substitute into the equation to find .
Substitute into the equation:
Simplify the expression:
Thus, the value of is 7.
The correct answer is b. 7.
Would you like further details or have any questions?
Here are 5 related questions to extend your understanding:
- What happens if you change the equation to ? What is when ?
- How would you solve for if the equation was given as and ?
- What kind of system of equations would you have if there were two equations involving and ?
- Can you solve for if the equation was nonlinear, such as ?
- What would happen if you substituted negative values for ? What would the result be for ?
Tip: Always substitute values carefully into equations and simplify step by step to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Substitution Method
Formulas
y = 2x + 1
Theorems
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Suitable Grade Level
Grades 6-8