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3 years ago

What is the solution of the equation 17 = 3x − 4?

Mathematics

2 answers:

stiv31 [10]3 years ago

4 0

Answer: 7

Explanation:

1. 17 = 3x - 4.

According to the order of operations in algebraic equations, one must first subtract or add any given number to both sides. This is because the main goal when solving is to "isolate" the variable, or in other words keep it "single" on one side of the equals sign.

2. So, next one must add the -4 to both sides (this is because the opposite of -4 is +4 or positive 4)

17 = 3x - 4

+4 +4

The 2 fours on the right cancel each other out (because -4 plus positive 4 is equal to zero). And when one adds 17 + 4, the equations looks like this:

21 = 3x

3. Now, in order to undo the operation of 3 times x, one must do the opposite of multiplying, which is division. So, one now must divide by 3 one both sides like the following:

21 = 3x

÷3 ÷3

The 3s on the right cancel each other out, and 21 divided by 3 is 7:

7 = x

Thus, 7 is equal to x.

pogonyaev3 years ago

3 0

Answer:

x = 7

Step-by-step explanation:

Simplifying

17 = 3X + -4

Reorder the terms:

17 = -4 + 3X

Solving

17 = -4 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

17 + -3X = -4 + 3X + -3X

Combine like terms: 3X + -3X = 0

17 + -3X = -4 + 0

17 + -3X = -4

Add '-17' to each side of the equation.

17 + -17 + -3X = -4 + -17

Combine like terms: 17 + -17 = 0

0 + -3X = -4 + -17

-3X = -4 + -17

Combine like terms: -4 + -17 = -21

-3X = -21

Divide each side by '-3'.

X = 7

Simplifying

X = 7

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here are 1515 people in an office with 55 different phone lines. If all the lines begin to ring at once, how many groups of 55 p

Mashcka [7]

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360,360 groups of 5 people.

Step-by-step explanation:

We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.

We will use fundamental principle of counting to solve our given problem.

There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.

Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.

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