Answer to your problem is:
4 13/17
??
<u>We are given the proportion:</u>
6:n = 8:12
<u>rewriting as fractions:</u>
6 / n = 8 / 12
<u>Solving for n:</u>
6 = (8/12) * n [multiplying both sides by n]
n = 6 / (8/12) [dividing both sides by (8/12)]
n = 6*12 / 8
n = 9
True, because perpendicular means crossing at a 90° angle
From the above expression we get,
=》x + y = 7 - [1]
=》3x - 2y = 11 - [2]
now, let's solve :
multiplying [1] by 3
=》3x + 3y = 21
=》 3x - 2y = 11
subtracting
now, subtracting [2] from [1]
=》3x + 3y - 3x + 2y = 21 - 11
=》5y = 10
=》y = 2
now, plugging the value of y as 2 in equation [1]
=》x + y = 7
=》x + 2 = 7
=》x = 5
So, value of :
4x-6=2x-2
subtract 2x from both sides
2x-6=-2
add 6 to both sides
2x=4
divide by 2
x=2
Hope this helps :0