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prohojiy [21]
2 years ago
9

solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there

are an infinite number of solution, write each coordinate in terms of z . z. x 7
Mathematics
1 answer:
mart [117]2 years ago
6 0

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

<h3>Whais the explanation?</h3>

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

To learn more about DNE refer to:

brainly.com/question/16938197

#SPJ4

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Answer:

25

Step-by-step explanation:

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4 0
3 years ago
The sum of two books and a pencil is $6.00. The difference of cost between 3 books and 2 pencils is $ 2.00. Find the cost of a b
Gala2k [10]

Answer:

The book costs $2 and the pencil also costs $2.

Step-by-step explanation:

It is easy to get the value of the book and the pencil if we use<em> algebraic expressions.</em>

Let x be the cost of the book and let y be the cost of the pencil.

The sum of 2 books and a pencil is $6.00

  • 2x + y = $6.00

The difference of cost between 3 books and 2 pencils is $2.00.

  • 3x - 2y = $2.00

Step 1: Let's get the value of y first.

2x + y = 6

y = 6 - 2x

Step 2: Let's substitute the value of y and look for the value of x.

3x - 2y = $2.00

3x - 2(6-2x) = 2

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7x = 12 + 2

7x = 14

x = \frac{14}{7}

x = $2 (this is the cost of the book)

Step 3: Let's substitute the value of x and look for the value of y.

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2 (2) + y = 6

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y = 6 - 4

y = $2 (this is the cost of the pencil)

Let's check:

2x + y = $6

2(2) + 2 = 6

4 + 2 = 6

6 = 6<em> (CORRECT)</em>

<em></em>

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Step-by-step explanation:

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