Question

Find the value of X, I'll draw it

Answer 1

@ganeshie8 could you please help me with this last one? This is the final one that's been stumping me in the practise package, I'll draw it

Answer 2

its an isosceles trap

Answer 3

so two things :-
1) legs are equal (2x+3y = 12)
2) base angles are equal (30x+11y = 112)

Answer 4

solve both the equations

Answer 5

can you ? :)

Answer 6

So for the legs, would that be X=2?
and I'm not exactly sure how to solve the second part, am I supposed to isolate the x or the y?

Answer 7

not exactly

Answer 8

you need to solve the system of two equations,
you familiar with substitution method ?

Answer 9

2x+3y = 12 ---------(1)
30x+11y = 112------(2)

Answer 10

from (1),

2x+3y = 12
3y = 12-2x
y = (12-2x)/3

substitute this y value in (2)

Answer 11

30x + 11(12-2x)/3 = 112

Answer 12

solve x

Answer 13

OH! Yes i do know the substitution method, ok I'll try again

Answer 14

good :)

Answer 15

Ok, so when i substituted x I got 3.33 and when i substituted for y I got 1.33

Answer 16

looks wrong

Answer 17

eh alright. I don't know what I did wrong

Answer 18

30x + 11(12-2x)/3 = 112

30x + 44-22x/3 = 112

Answer 19

30x-22x/3 = 68

Answer 20

90x-22x = 68*3

Answer 21

68x = 68*3

Answer 22

x=3

Answer 23

I don't get it at all :/ I thought I understood substitution but i guess not

Answer 24

So, the answer's 3? You solved the leg part, but how did you solve the other part? the same way?

Answer 25

hmm you just want the x right ?

Answer 26

or you weant 'y' also ?

Answer 27

No, just the x but you had given me two equations to solve,

Answer 28

or was that for the legs too? Sorry I'm confused :/

Answer 29

its okay, we have solved both the equations. after that we got x = 3 :-

in above solution, we did below steps :
1) isolate y in equation(1)
2) substitute y in equation(2)
3) solve x

Answer 30

go thru it once again when u have time, im sure its easy for you :)

Answer 31

Thank you! I'll just have to look over the substitution method haha.
Thanks again!

Answer 32

yes :) you wlcme !!!