What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?

Mathematics

2 answers:

Anni [7]3 years ago

5 0

4 (X + 2 (3X - 7)) = 22X - 65
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
4 * (X + 2 * (3 * X - 7)) - (22 * X - 65) = 0
Pull out like factors:
7X - 14 = 7 * (X - 2)
28 * (X - 2) - (22X - 65) = 0
Pull out like factors:
6X + 9 = 3 * (2X + 3)
3 * (2X + 3) = 0
3 = 0... (equation never true, has no solution; a a non-zero constant never equals zero)
2X + 3 = 0
Subtract (-3) from both sides of the equation:
2X + 3 (-3) = 0 + (-3)
2X + 3 - 3 = 0 - 3
2X + 0 = -3
2X = -3

Divide both sides of the equation by 2:
2x / 2 = -3 / 2
X = -3 / 2
X = - 1.500

Lelu [443]3 years ago

3 0

X = -3/2
I hope my work .... helped you out a little.

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Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line.

ivanzaharov [21]

Answer:

(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

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<em>Comment on orientation</em>

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.