Question

Using the equation Y= 2/3x - 5 describe how to create a system of linear equations with an infinite number of solutions.

Answer 1

If you think about this equation as a line, then in order to have an infinite number of solutions is to have another equation that describes the same line.

So, for example 3y=2x-15 would be one of those.

Answer 2

To have an infinite number of solutions, the equations must graph the same line. That means the equations must be equivalent. To form an equivalent equation, use the properties of equality to rewrite the given equation in a different form. Add, subtract, multiply, or divide both sides of the equation by the same amount.