4(5x-6)=2(8x+10) how to solve
1 answer:
Hello! :)
Answer:
*The answer must have a POSITIVE sign!*
Step-by-step explanation:
Expand with distributive property: a(b+c)=ab+ac
4*5=20
6*4=24
20x-24
2*8=16
2*10=20
16x+20
20x-24=16x+20
First, you add by 24 both sides of an equation.
20x-24+24=16x+20+24
20x=16x+44
You subtract by 16x both sides of an equation.
20x-16x=16x+44-16x
4x=44
Then, you divide by 4 both sides of an equation.
4x/4=44/4
Divide by the numbers from left to right.
44/4=11
<u><em>X=11 is the final answer</em></u>
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thanks!
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From given picture we can see that X is mid point of line PQ
So PQ=2PX
From given picture we can see that Y is mid point of line PR
So PR=2PY
Now consider triangles PRQ and PYX
Sides PQ and PX has same ratio as of sides PR and PY (as calculated above)
angle XPY= angle QPR (common angle)
Hence triangles PRQ and PYX are similar.
We know that ratio of the sides of similar triangles is always equal so we can write:
Plug the given values QR=8 and PQ=2PX
Hence final answer is XY = 4 units.