Question

Given the equation 5x - 2y = 10, write a second equation that will create a system of equations that has infinite solutions.

Answer 1

To create a system of equations that has infinite solutions, multiply the given equation by a constant and add it to the original equation.

Step-by-step explanation:

To create a system of equations that has infinite solutions, we need to find a second equation that is proportional to the given equation. We can accomplish this by multiplying both sides of the given equation by a constant. Let's choose a constant of 2:

10x - 4y = 20

By adding this new equation to the original equation, we will end up with a system of equations that has infinite solutions.