Answered

IDNLearn.com offers a user-friendly platform for finding and sharing knowledge. Our experts are ready to provide prompt and detailed answers to any questions you may have.

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 :

Luanaidn
[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]
Emmaeggidn
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!




Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.