First, we have to get the variable to one side of the equation, which can be done with simple subtraction.
4x -3 (-6x) = 6x + 9 (-6x)
-2x -3 = 9
now just solve as a regular equation:
-2x - 3 = 9
-2x = 12
x = -6
so, x is equal to -6
Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)
Proof:
We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:
N + 2N > 3N
3N > 3N
3 > 3
which is False, for any value of N. This means that the original choice of N is not possible. Since the inequality is False for any value of N, there cannot be any triangle with the given side lengths, thus proving our conjecture.
Answer:
24
Step-by-step explanation:
1: Divide 120 by 5 = 24
Answer: 24
<em><u>Hope this helps.</u></em>
Y=-6/5x-7/5
You add it and move it to the other side
y+6/5x=-7/5
Multiply both sides by 5
5y+6x=-7
Rearrange
6x+5y=-7