492,866 views
33 votes
33 votes
Slove for y(13x-27)(9y + 19)(10x+6)

User James Pardon
by
2.5k points

1 Answer

16 votes
16 votes

To obtain the value of y, we need to obtain the value of x first

Step 1: Finding x

(13x - 27) and (10x + 6) are equal (Alternate exterior angles)

so we can equate both angles

13x - 27 = 10x + 6

13x - 10x = 27 + 6

3x = 33

Divide both sides by 3

x = 33/ 3

x = 11

Step 2: Finding y

(9y + 19) and (10x + 6) are supplementary, hence they add up to 180

9y + 19 + 10x + 6 = 180

9y + 10x + 19 + 6 = 180

9y + 10x + 25 = 180

9y + 10x = 180 - 25

9y + 10x = 155

9y = 155 - 10x

substitute the value of x = 11 from step 1 into the equation

9y = 155 - 10 x 11

9y = 155 - 110

9y = 45

divide both sides by 9

y = 45/9

y = 5

User Smora
by
2.8k points