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Elena-2011 [213]
3 years ago
13

Solve the Equation 4(2x+1)=5x+9+3x?

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

8x+4=5x+9+3x

combine:5+3=8x

subtract 8x-8x=0

subtract 4 from 9=5

0=5

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<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x%2B3y%3D1%7D%20%5Catop%20%7B7x%2B3y%3D5%7D%7D%20%5Cright." id="TexF
Elena-2011 [213]

Answer:

(2, - 3)

Step-by-step explanation:

given the 2 equations

5x + 3y = 1 → (1)

7x + 3y = 5 → (2)

multiply all terms in (1) by - 1

- 5x - 3y = - 1 → (3)

add (2) and (3) term by term to eliminate the term in y

(7x - 5x) + (3y - 3y) = (5 - 1)

2x = 4 ( divide both sides by 2 )

x = 2

Substitute x = 2 in either (1) or (2) for corresponding value of y

(2) : 14 + 3y = 5 ( subtract 14 from both sides )

3y = - 9 ( divide both sides by 3 )

y = - 3

solution is (2, - 3)


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Find the sum of the line that passes through the points -4 -4 and 4 8
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(1,7), since that's the point where both lines intersect.
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