Math Problem Statement

Complete the missing value in the solution to the equation y - 3 = 2(x + 1) when x = -1.

Solution

To solve the problem, we substitute x=1x = -1 into the given equation and solve for yy.

The equation is:

y3=2(x+1)y - 3 = 2(x + 1)

Step 1: Substitute x=1x = -1

y3=2((1)+1)y - 3 = 2((-1) + 1)

y3=2(0)y - 3 = 2(0)

y3=0y - 3 = 0

Step 2: Solve for yy

y=3y = 3

Final Answer:

The missing value in the solution is y=3y = 3, so the point is (1,3)(-1, 3).

Let me know if you need further clarification or a detailed explanation of the steps.


Related Questions:

  1. What would be the solution if x=0x = 0 instead of x=1x = -1?
  2. How would you graph this equation on a coordinate plane?
  3. Can you rewrite this equation in slope-intercept form (y=mx+by = mx + b)?
  4. What is the slope and y-intercept of the given equation?
  5. How would you verify that (1,3)(-1, 3) satisfies the equation?

Tip:

When solving for one variable, substitute all known values carefully to avoid errors in calculation.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Substitution Method
Solving for Variables

Formulas

y - 3 = 2(x + 1)

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8