In order to find this answer we have to manipulate the equation algebraically so that we end up with a statement that x = something. We can manipulate the problem however we need to as long as we do the same thing to both sides of the equation (this keeps the equation true).
-8x/5 + 1/6 = -5x/3
first lets get the x's on one side of the equals sign by adding 8x/5 to each side.
1/6 = -5x/3 + 8x/5
Ok, now let's add the x's together (we need common denominators)
1/6 = -25x/15 + 24x/15
1/6 = -x/15
Now lets get x by itself by multiplying each side by 15
1/6 * 15 = -x
15/6 = -x
3/2 = -x
Multiply each side by -1 to make the x positive.
-3/2 = x
Answer:
5
Step-by-step explanation:
This means that 9/(2x-1)=15/(3x), so 27x=30x-15. This means that 3x=15, so x=5.
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
