Answer:
9a+6b
Step-by-step explanation:
4a+7b+5a-b
First figure out the a's 4a + 5a = 9a
Then do b's (Remember, if there is no number by the letter then it is 1)
7b - 1b = 6b
So for this to be simplified the answer is 9a+6b
-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7
-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL
-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4
-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4
-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13
-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7
-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7
-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7
-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y
-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2
-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------
