y = 8 -2x
x + 2 (8 - 2x) = 1
x + 16 - 4x = 1
x - 4x = -15
-3x = -15
x = 5
If x = 5, then we can substitute in...
5 + 2y = 1
2y = -4
y = -2
Now let us check that by substituting those values in to the equation
2x + y = 8
2 (5) + (-2) = 8
That is correct so we have the right values for x and y/
4/ (1/2)
=4* (2/1)
= 8
The answer is 8~
X = t - 3 is also -t = -x - 3 or t=x+3
Substitute it in
y=2/t+5
y=2/(x+3)+5
Let y=0 to solve for x
0=2/(x+3)+5
-5= 2/(x+3)
-10=x+3
-7=x
Now solve for t
t = x+3
t = (-7)+3
t = -4
Now we can solve for y
y = 2/(-4)+5
y = -0.5+5
y = 4.5
To check
4.5 = 2/(-4) + 5
4.5 = -0.5 + 5
4.5 = 4.5
-7 = -4 - 3
-7 = -7
Therefore
x = -7
y = 4.5
t = -4
1) Given (1/2) (x + 32) = - 10
2) Multiply both sides by 2: x + 32 = 2 * ( -10)
x + 32 = - 20
3) Subtract 32 from both sides:
x = - 20 - 32
4) Solution x = - 52
5) Check
This is the verification:
(1/2) (-52 + 32) = - 10
(1/2) (-20) = - 10
-10 = - 10