janisga
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Find the point of intersection:
y=2x-3
x+y=15

Sagot :

iciclepiano18

Answer:

[tex](6, 9)[/tex]

Step-by-step explanation:

The point of intersection is also the solution to this system of equations.

We can solve this system using substitution:

[tex]x+y=15\\x+2x-3=15\\3x-3=15\\[/tex]

Add 3 to both sides:

[tex]3x=18[/tex]

Divide both sides by 3

[tex]x=6[/tex]

Then, substitute 6 for x to solve for y:

[tex]y=2x-3=2(6)-3=12-3=9[/tex]

Therefore the point of intersection is:

[tex](x, y)=(6, 9)[/tex]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.