At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Answer:
(6,2)
Step-by-step explanation:
To solve this equation using the substitution method we can plug in the given value of x into the equation, 3x+2y=22 and solve for y. Once we get the value of "y" then we can plug the y into our second equation which is x=5y-4.
3x+2y=22
plug in 5y-4 for the x value, so
3(5y-4)+2y=22 now distribute the 3 to the (5y-4) (multiply the 3 by 5y and -4)
3*5y= 15y and 3*-4= -12,
15y-12+2y=22 ←this is our equation after distributing
we can combine the 15y and 2y because they share the same variable
(15y+2y)
17y-12=22 add 12 to both sides to eliminate the -12 and divide by 17 to get rid of the 17 next to y or isolate the y variable
17y-12+12=22+12 → 17y=34 divide both sides by 17
[tex]\frac{17y}{17} =\frac{34}{17}[/tex] the 17's cancel and the 17 divides into 34, leaving us with
y=2
now substitute the y=2 into the equation x=5y-4
so x=5(2)-4 → x=10-4 → x=6
So we have the values for both our x and y values, all we need to do is put them in an ordered pair in the form (x,y)
so the ordered pair is (6,2)
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
