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solong [7]
4 years ago
6

What is the first step in solving 5x-3=12?

Mathematics
2 answers:
sergij07 [2.7K]4 years ago
6 0

Answer: 5x = 12 + 3

5x = 15 (divide both sides by 5 to get x)

Step-by-step explanation:

5x/5 = 15/5\\x = 3

Lena [83]4 years ago
3 0

Answer:

X = 3

Step-by-step explanation:

5X - 3 = 12

add 3 to both sides of the equal sign

5X = 15

divide 5 to both sides of the equal sign

X = 3

MARK ME BRAINLIEST

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
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3 years ago
The length of a rectangular photo is 1 centimeter less than three times its width. If the area of the photo is 102 square centim
noname [10]

Answers:

  • Length = 17
  • Width = 6

======================================================

How to get those answers:

Let w be the unknown width in centimeters. This variable is some positive real number. This means w > 0 which will be useful later.

The length is "1 cm less than 3 times its width" and it tells us the length is defined by the expression 3w-1. Whatever w is, we triple it to get 3w and then subtract 1 to get the final length.

Multiply the length and width to get the area 102

length*width = area

(3w-1)*w = 102

3w^2-w = 102

3w^2-w-102 = 0

We could guess and check our way to factoring this, but that's not very efficient. The quadratic formula is the better option. It may seem a bit messy, but it's a more direct path that doesn't involve guessing.

w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-102)}}{2(3)}\\\\w = \frac{1\pm\sqrt{1225}}{6}\\\\w = \frac{1\pm35}{6}\\\\w = \frac{1+35}{6}\ \text{ or } \ w = \frac{1-35}{6}\\\\w = \frac{36}{6}\ \text{ or } \ w = \frac{-34}{6}\\\\w = 6\ \text{ or } \ w \approx -5.667\\\\

We ignore the second solution (w = -5.667 approximately) because we stated earlier that w > 0. In other words, a negative length does not make sense, so that's why we ignore it.

-----------------

If w = 6 cm is the width, then 3w-1 = 3*6-1 = 18-1 = 17 cm is the length.

Note that length*width = 17*6 = 102 which is the proper area we want. This confirms the answers.

6 0
3 years ago
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