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elena55 [62]
3 years ago
7

Solve the following system of equations by linear combination: 2d + e = 8 d – e = 4

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0
Because there is a +e and a -e in the two equations we can simply add them together to solve for d...

2d+e+d-e=8+4  combine like terms

3d=12 divide by 3

d=4,  now use this d in either original equation to solve for e...<span>d–e=4 so

4-e=4 subtract 4

-e=0 

e=0

So the solution, where the lines intersect graphically, is the point (4, 0)</span>
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Step-by-step explanation:

Step 1:

First, we plot the points of triangle ABC and A''B''C''.

The points of triangle ABC are A (-8, -5), B(-4, -3), and C(-4,-7).

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The points of both triangles ABC and A''B''C'' are the same values but different symbols for x and y values.

Step 2:

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Answer:

F_G=2.04\ .\ 10^{-10}\ Nw

Option J

Step-by-step explanation:

Newton's Universal Law Of Gravitation

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\displaystyle F_G=G\frac{m_1m_2}{d^2}\ ,\ G=6.673\ .\ 10^{-11} N m^2/kg^2

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In the problem, we have

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\displaystyle F_G=6.673\ .\ 10^{-11} N m^2/kg^2\frac{(3.5kg)(3.5kg)}{(2m)^2}

\boxed{F_G=2.04\ .\ 10^{-10}\ Nw}

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