Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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!




Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.