Answer:
Step-by-step explanation:
11. 76x + 23x = 33
99x = 33
x = 33/99 which reduces to 3
12. 140r - 8r - 4r = 216
128r = 216
r = 216/128 which reduces to 27/16
13. 98c - 99c = 1
-1c = 1
c = -1/1
c = -1
14. 104mn + (-84mn) = 36
104mn - 84mn = 36
20mn = 36
mn = 36/20 which reduces to 9/5....I am not sure about this one...I was not sure if u were looking for m or n..so I didn't separate them. But if ur looking for m, it is m = 9/5n...and if ur looking for n, it is n = 9/5m
15. 118j - 234j = 234
- 116j = 234
j = -234/116 reduces to - 117/58
Answer:
x = -1 and y = 1/2
Step-by-step explanation:
Let u = 1/x, and v = 1/y
Then the pair of equations
-3/x + 4/y = 11
1/x - 2/y = -5
Can be written as
-3u + 4v = 11 .................................(1)
u - 2v = -5......................................(2)
From (2)
u = 2v - 5 .......................................(3)
Substituting (3) into (1)
-3(2v - 5) + 4v = 11
-6v + 15 + 4v = 11
-6v + 4v = 11 - 15
-2v = -4
v = 4/2 = 2
Substituting this value of v in (3)
u = 2v - 5
u = 2(2) - 5
= 4 - 5
= -1
That is
u = -1, v = 2
Since u = 1/x, and v = 1/y, we have
1/x = -1
=> x = -1
And
1/y = 2
=> y = 1/2
Therefore
x = -1 and y = 1/2
This question is essentially telling you to move the point (5, -2) over three units, and up four units. That means subtract three units from the x-coordinate and add four units to the y-coordinate. So (5 - 3, -2 + 4) --> (2, 2). The coordinates for the new point are (2, 2).
Answer:
what don't you understand
