Hey there!
In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:
<span>5y + 3 = 2y – 3x + 5
– 3 – 3
</span>
5y = 2y – 3x + 2
As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y.
5y = 2y – 3x + 2
+ 2y + 2y
<u>7y</u> = <u>–3x + 2</u>
7 7
y = <u>–3x + 2</u>
7
When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7.
Hope this helped you out! :-)
Answer: 720ways, 24ways
Step-by-step explanation:
Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.
This can then be arranged in 6!ways
6! = 6×5×4×3×2×1 = 720ways
Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).
This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.
4! = 4×3×2×1
4! = 24ways
Because there is no number that could be multiplied BY ITSELF and still be negative:
-2 x -2 = 4
2 x 2 = 4
But, cubed root works because a negative can be three times and still be negative:
-4 x -4 x -4 = -64
Hope this helps!
Two common tangents occur when two circles intersect each other at two points.
<h3>How to illustrate the information?</h3>
It should be noted that two common tangents are also referred to as transverse common tangents.
In this case, two common tangents occur when two circles intersect each other at two points.
The diagram is attached.
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