Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If RS=8y+4 , ST=4y+8 , and RT=15y-9, find RS, ST, and RT
someone please help me

If RS8y4 ST4y8 And RT15y9 Find RS ST And RT Someone Please Help Me class=

Sagot :

luana
[tex]RS+ST=RT\\\\ RS=8y+4\\ RT=15y-9\\ ST=4y+8\\\\ 8y+4+4y+8=15y-9\\ 12y+12=15y-9\ \ \ |Subtract\\ 12y=15y-9-12\\ 12y=15y-21\ \ \ | Subtract\ 15y\\ 12y-15y=-21\\ -3y=-21 \ \ |Divide\ by\ (-3)\\ y=7\\\\ RS=8y+4=8*7+4=56+4=60\\ RT=15y-9=15*7-9=105-9=96\\ ST=4y+8=4*7+8=28+8=36 [/tex]
emmaegg
First write your equation to solve for y. You know RS plus ST equals RT. 
8y + 4 + 4y + 8 = 15y - 9

Next combine like terms on the left side of the equal sign. 
8y + 4y + 4 + 8 = 15y - 9
 
Then add the like terms.
12y + 12 = 15y - 9

Simplify using algebra. Subtract 12y from both sides. 
12y + 12 = 15y - 9
-12y          -12y
12 = 3y - 9

Now add 9 to both sides.
12 = 3y - 9
+9          +9
21 = 3y

Divide both sides by 3. Now you have your y value.
21 = 3y
/3     /3
7 = y

Now that you have the y value (7), just plug it into the equations for each side. 

RS:
8y + 4
8 * 7 +4
56 + 4
60
RS = 60

ST:
4y + 8 
4 * 7 +8
28 + 8
29
ST = 36

RT:
15y - 9
15 * 7 - 9
105 - 9
96
RT = 96

We know these are correct because RS + ST should equal RT. Does 60 + 36 = 96? Yes. 

Hope this was of help!




We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.