chimchimishook
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Find a value of M that will give you a system of equations with exactly one solution.
Y=6x+1
Y=mx+1

Sagot :

Given:

System of equations is

[tex]y=6x+1[/tex]

[tex]y=mx+1[/tex]

To find:

A value of M that will give you a system of equations with exactly one solution.

Solution:

A system of equation has exactly one solution if the graph of the equation is neither parallel nor coincident.

Slope of parallel lines are same. But in the given equations if slopes are same then both the system of equations have two same equations which represent coincident lines.

For one solution, [tex]m\neq 6[/tex].

So, the value of m can be any real number except 6 because for m=6.

Thus, [tex]m=R-{6}[/tex].

1 is a real number which is not equal to 6.

Therefore, one possible value of m is 1.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.