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3 years ago

What is the solution to the system of equations ? X=y-3 X+3y=13 . Please solve

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

4 0

X=y-3 X+3y=13 so,

first you need to plug in the value of X to make it y-3+3y=13 then you add 3 to both sides and it becomes y+3y=16

After this you can combine the y and 3y to make 4y=16 and you divide both sides by 4 to get y=4

Then you plug 4 in for every time there is a y so, X+3(4)=13 which makes the equation X+12=13 and you subtract 12 from both sides making it X=1

So solution to the system is y=4 and X=1

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a. f = 17.5/c

b. 8.75 N

Step-by-step explanation:

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

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_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

y = kx . . . . direct
y = k(1/x) . . . . inverse
y = kx² . . . . proportional as the square
y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

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2 years ago