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Nikitich [7]
3 years ago
8

Rearrange the equation so m is the independent variable. -2m-5n=7m-3n n=___

Mathematics
1 answer:
Aneli [31]3 years ago
3 0
<h2>Answer:</h2>

The equation is given by:

        n=\dfrac{-9}{2}m

<h2>Step-by-step explanation:</h2>

We are given a equation in terms of the variable m and variable n as follows:

-2m-5n=7m-3n

Now, we are asked to find the equation in terms of m i.e. we have to consider m as independent variable and n as dependent variable since it's value is to be expressed in terms of m.

Now, we add 5n on both the sides of the equation to get:

-2m=7m-3n+5n\\\\i.e.\\\\-2m=7m+2n

Now, we subtract 7m from both the sides of the equation to get:

-2m-7n=2n\\\\i.e.\\\\2n=-9m\\\\n=\dfrac{-9}{2}m

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Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
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the answer is
the solution of the system are the points
(2,4) and (-1,1)


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Answer:

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Step-by-step explanation:

1. -3.1 + (-7.2) + 4.8

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we have -5n(4n + 1) = 0.

We know -5 is not equal to 0.

It means n = 0 or 4n+1 = 0.

n = 0 or 4n = -1.

n = 0 or n = -1/4

So, final answers are n = 0 or n = -1/4.

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