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ra1l [238]
3 years ago
14

What is the value of x in the equation 2x – 3 = 9 – 4x?

Mathematics
2 answers:
DENIUS [597]3 years ago
6 0
2*3 = 6 - 3 = 3
4*3 = 12 - 9 - 3
x= 3
nikdorinn [45]3 years ago
4 0
2x-3=9-4x
step 1: put like terms on the same side of the equation
2x+4x=9+3
step 2: add/subtract like term
6x=12
step 3: isolate the variable (x)
6x/6=12/6
final answer: x=2
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<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

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★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

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