Question

Using the equation y = two-thirds x minus 5, describe how to create a system of linear equations with an infinite number of solutions.

Answer 1

Answer:

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.

Step-by-step explanation:

it's the sample answer

Answer 2

For the system of linear equations that has an infinite number of solutions, then both equations must have the same slope and the same y-intercept.

The equation is given as:

$\mathbf{y = \frac 23x - 5}$

To create a system of linear equations that has an infinite number of solutions, then both equations must be the same.

Examples of such equations are:

$\mathbf{y + 5= \frac 23x }$

$\mathbf{3y= 2x -15}$

Hence, for the system of linear equations that has an infinite number of solutions, then both equations must have the same slope and the same y-intercept.

Read more about number of solutions at:

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