Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Which values of m and b will create a system of equations with no solution? choose 1 options.

Which Values Of M And B Will Create A System Of Equations With No Solution Choose 1 Options class=

Sagot :

asuncionsandra05

Answer:

The graph of a linear equation is a straight line.  The "solution" to a system of two linear equations is the point where the two lines cross.  If the two lines are parallel, they never cross; hence parallel lines have no solution.  Two lines are parallel if they have the same slope (the m value in y = mx+b).  One of your equations is y = -2x + (you left the y-intercept out).  The slope is -2.  So any line with a slope of m = -2 will be parallel to this line and will not cross it.  The second line also needs a different value of b, the y-intercept.  Otherwise it is the same line and every point is a solution.  So if your equation is:

 

y = -2x + 1

 

Then any equation of the form y = -2x + b, b≠1 will create a system with no solution.  Hence the values of m and b are m = -2, b ≠ 1.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.