<span>The correct answer is D. The number 7 is subtracted from the first term, 2x/3, but then an equal sum is added, and the two effectively cancel each other out. This means that the value of the first expression is essentially 2x/3, which is option D.</span>
3x-2y=5
3x+y=8
Rewrite the second equation as y = -3x +8
Substitute that into the first equation for y:
3x-2(-3x+8) = 5
Use distributive property:
3x +6x -16 = 5
Combine like terms:
9x - 16 = 5
Add 16 to both sides:
9x = 21
Divide both sides by 9:
x = 21/9
x = 7/3
Replace X in the first equation and solve for y:
3(7/3) -2y = 5
7 - 2y = 5
Subtract 7 from both sides:
-2y = -2
Divide both sides by -2:
y = 1
The solution is (7/3, 1)
If you think about it. You can think of a blank coordinate plain and determine the answer (4,5).
The ratio would need to be 1:1 in order to split the line in half. Think of it like having two cookies. If you split those cookies between you and your friend, then you get 1 and s/he gets the other. So the ratio of your cookie count to your friend's count is 1:1
With the ratio 1:2, you would have 1 cookie while your friend has 2 cookies. This is no longer a fair split. Things are not 50/50 anymore. You have 1/3 of the cookies while your friend has 2/3 of the cookies. Your friend would have twice as much.
So that applies to the segment lengths as well. The line segment would be split up into two parts A and B. Part A is the smaller segment that is half as long as part B. Or put another way, part B is twice as long as part A