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:

y=2x+1y = 2x + 1

and are told to substitute x=3x = 3 into the equation to find yy.

Substitute x=3x = 3 into the equation:

y=2(3)+1y = 2(3) + 1

Simplify the expression:

y=6+1=7y = 6 + 1 = 7

Thus, the value of yy 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:

  1. What happens if you change the equation to y=3x+2y = 3x + 2? What is yy when x=3x = 3?
  2. How would you solve for xx if the equation was given as y=2x+1y = 2x + 1 and y=7y = 7?
  3. What kind of system of equations would you have if there were two equations involving xx and yy?
  4. Can you solve for yy if the equation was nonlinear, such as y=x2+2x+1y = x^2 + 2x + 1?
  5. What would happen if you substituted negative values for xx? What would the result be for yy?

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