Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

-5x+6y=-2 and 5x-3y=1 How many solution

Sagot :

MathWiz0001

Step-by-step explanation:

Find the values of x and y to determine how many solutions.

Use the elimination method. Add both of the equations.

Sum:

[tex]3y=-1[/tex]

Divide each side by 3:

[tex]\boxed{y=-\frac{1}{3}}[/tex]

Substitute y = -(1/3) into the first equation:

[tex]-5x+6(-\frac{1}{3})=-2[/tex]

Multiply:

[tex]-5x-2=-2[/tex]

Add 2 to both sides:

-5x = 0

We can determine:

[tex]\boxed{x=0}[/tex]

(0, -1/3)

The system of equations have 1 solution.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.