As shown in the figure, point AB is on the number axis, the numbers they deal with are - 4 and 3x-5 respectively, and the distance from point AB to the origin is equal, so find the value of X I'm in a hurry

As shown in the figure, point AB is on the number axis, the numbers they deal with are - 4 and 3x-5 respectively, and the distance from point AB to the origin is equal, so find the value of X I'm in a hurry


Dizzy, no picture~
But it doesn't matter. I'll take care of it without a picture
Watch it
The corresponding numbers are - 4,3x-5, and the distance from point AB to the origin is equal. This sentence shows that the two numbers are symmetrical about the origin on the number axis (it is impossible to coincide because they are two points AB)
So, if - 4 + (3x-5) = 0, x = 3



For the solution of the equation 3A + 4 = 2Y of X, if the distance between the point on the number axis and the origin is 6, then a=


If the distance to the origin is 6, the point may appear on the circle with the origin as the center and the radius of 6. The maximum value of Y is naturally 6, and the minimum value is 0, so 0



The solution of the equation 3A + 4 = 2Y of Y is expressed on the number axis. If the distance from the place to the origin is 6, then a is equal to y______ .


3a+4=2y
y=(3a+4)/2
∴|3a+4|/2=6
|3a+4|=12
3a+4=12 3a+4=-12
a=8/3 a=-16/3