Math Problem Statement

Give the formula and the answer

Give the formula and the answer

Solution

The equation in the image appears to be:

q1=4×r=2q_1 = 4 \times r = -2

To find the value of rr, we solve for rr from the equation:

4×r=24 \times r = -2

Dividing both sides of the equation by 4:

r=24=12r = \frac{-2}{4} = -\frac{1}{2}

Thus, the value of rr is 12-\frac{1}{2}, and the equation becomes:

q1=4×(12)=2q_1 = 4 \times \left( -\frac{1}{2} \right) = -2

So, the formula is correct with q1=2q_1 = -2 and r=12r = -\frac{1}{2}.

Would you like any further clarification or a detailed breakdown?

Here are 5 related questions:

  1. How would the equation change if 44 was replaced with another constant?
  2. What would happen to the value of rr if q1q_1 was positive instead?
  3. How would you solve this equation if it were a system with two variables?
  4. What is the geometric interpretation of multiplying a variable by a constant in an equation?
  5. Can this equation be written in terms of rr first?

Tip: Always isolate the variable you're solving for by performing inverse operations step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

q1 = 4 * r

Theorems

Basic algebraic operations

Suitable Grade Level

Grades 7-9