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lisov135 [29]
3 years ago
9

Solve the equation 2/3-4x+7/2=-9x+5/6

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

<u>For the equation x = - 2/3</u>

Step-by-step explanation:

Solve the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

<u>41 = 41</u>

<u>It means the value of x is correct</u>

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