Answer:
X=13
Step-by-step explanation:
Basically you want to solve for x
If you look at the image it has a striaght line... A striaght line in Angles means both Angles ADDED together need to be equal to 180.
so we will write it like this (11x-15)+(5x-13)=180
to solve you need to isolate X to do that you need to move some number around but first lets take these numbers out of parenthesis...
11x-15+5x-13=180
Now we need to combine liked terms
our liked terms are 5x and 11x
and -15 and -13
add 5x and 11x= 16x
and add -15 and -13= -28
16x-28=180
Now we need to move a number
easiest number to move is -28
to do so we need to add 28 on both sides to cancel it out from one side.
-28+28=0
180+28=208
16x=208
now we need to isolate x
meaning now we need to divide 16 on both sides...
16/16 =1
1 is same as X because X is one
so it will just be x
208/16=13
x=13
now we need to plug it in to each of the original equations and check our answer
(11(13)-15)= 11*13= 143 143-15= 128
(5(13)-13) = 5*13=65 65-13= 52
now lets see if both of these answers added together equal 180
128+52=180
yes it does so it is correct X = 13
