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2 years ago

How many solutions exist for the given equation?

Mathematics

1 answer:

NemiM [27]2 years ago

5 0

Answer:

Zero

Step-by-step explanation:

Simplifying

12x + 1 = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(1 + 4x) + -2

1 + 12x = (1 * 3 + 4x * 3) + -2

1 + 12x = (3 + 12x) + -2

Reorder the terms:

1 + 12x = 3 + -2 + 12x

Combine like terms: 3 + -2 = 1

1 + 12x = 1 + 12x

Add '-1' to each side of the equation.

1 + -1 + 12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

0 + 12x = 1 + -1 + 12x

12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

12x = 0 + 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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Which of the following results from taking the square root of a negative

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A. Imaginary number

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3 years ago

A line is represented by the equation 2x + 3y = 15. What is another way to represent the same line, for solving Y ? Help is need

Lady bird [3.3K]

The another way to represent the same line, for solving $y$ will be: $y= 5-\frac{2}{3}x$

Explanation

Given equation of the line is: $2x+3y=15$

"Solving $y$ " means we need to get $y$ alone in left side. So, we will eliminate all other terms except $y$ from the left side.

First we will subtract 2x from both sides. So, we will get......

$2x+3y-2x=15-2x\\ \\ 3y=15-2x$

Now, we will divide both sides by 3 for getting $y$ alone. So.....

$\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x$

Thus, the another way to represent the same line, for solving $y$ will be: $y= 5-\frac{2}{3}x$

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3 years ago

Read 2 more answers

You decide you need a new computer. The cost of the computer is $768. However,

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Answer:32

Step-by-step explanation:

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4 years ago

On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back

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If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.

Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
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