Step-by-step explanation:
are vertically opposite angles.
![\therefore \: \angle PTS\: = \: \angle QTR \\ \\ \therefore \: [11(y - 10)] \degree = (4y - 5)\degree \\ \\ \therefore \:11y - 110 = 4y - 5 \\ \\ \therefore \:11y - 4y = 110 - 5\\ \\ \therefore \:7y = 105 \\ \\ \therefore \:y = \frac{105}{5} \\ \\ \huge \red{ \boxed{\therefore \:y = 15}} \\ \\ \therefore \: m\angle PTS\: =[11(y - 10)] \degree \\ = [11(15- 10)] \degree \\ = [11 \times 5] \degree \\ \huge \orange{ \boxed{\therefore \: m\angle PTS\: = 55 \degree}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20%5Cangle%20PTS%5C%3A%20%20%3D%20%5C%3A%20%5Cangle%20QTR%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%3D%20%284y%20-%205%29%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A11y%20-%20110%20%3D%204y%20-%205%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A11y%20-%204y%20%3D%20110%20-%205%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A7y%20%3D%20105%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3Ay%20%3D%20%20%5Cfrac%7B105%7D%7B5%7D%20%5C%5C%20%20%5C%5C%20%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3Ay%20%3D%20%2015%7D%7D%20%5C%5C%20%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%20%3D%5B11%28y%20-%2010%29%5D%20%20%5Cdegree%20%20%20%5C%5C%20%20%3D%20%5B11%2815-%2010%29%5D%20%20%5Cdegree%20%5C%5C%20%20%3D%20%5B11%20%5Ctimes%205%5D%20%20%5Cdegree%20%5C%5C%20%20%20%20%5Chuge%20%5Corange%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20m%5Cangle%20PTS%5C%3A%20%3D%2055%20%5Cdegree%7D%7D)
Y = 5x - 13 ----------- (1)
5x + 2y = 19 --------- (2)
Sub (1) into (2):
5x + 2(5x -13) = 19
5x + 10x - 26 = 19
15x = 19 + 26
15x = 45
x = 3 -------- sub back into (1)
y = 5(3) - 13
y = 15 - 13
y = 2
Ans: x = 3, y = 2
Answer:
Associative Property of Reciprocals
