Which of the following statements is true about the linear equation 4x - 5y = 20
Practice Questions
Q1
Which of the following statements is true about the linear equation 4x - 5y = 20?
It has no solutions.
It has infinitely many solutions.
It has exactly one solution.
It is a quadratic equation.
Questions & Step-by-Step Solutions
Which of the following statements is true about the linear equation 4x - 5y = 20?
Step 1: Understand what a linear equation is. A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants.
Step 2: Identify the given equation. The equation we have is 4x - 5y = 20.
Step 3: Recognize the form of the equation. The equation 4x - 5y = 20 is in the standard form of a linear equation.
Step 4: Determine the number of solutions. A standard linear equation in two variables typically has one solution unless it represents parallel lines (which have no solutions) or the same line (which has infinitely many solutions).
Step 5: Conclude that since 4x - 5y = 20 is a standard linear equation, it has exactly one solution.
