The real answer is y=-1/2+9 !
Answers:
u = 18
v = 20
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Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
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The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
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Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
(-6,6)(12,3)
slope(m) = (y2 - y1) / (x2 - x1) = (3 - 6) / (12 - (-6) = -3 / 18 = -1/6
y = mx + b
slope(m) = -1/6
use either of ur points (12,3)....x = 12 and y = 3
now sub and find b, the y int
3 = -1/6(12) + b
3 = -12/6 + b
3 = -2 + b
3 + 2 = b
5 = b
so ur slope(m) = -1/6 and ur y int (b) = 5
lets take
x+y=100 firstly.
then x=100-y equation (i)
Now,
x-y=10
Putting value of x from equation(i)
100-y-y=10
-2y=10-100
-2y=-90
therefore, y=45
Now,
putting value of y in equation(i)
we get
x=100-45
ie x=55
hence, x=55 & y=45
