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3 years ago

What is the value of n in the equation 1/2(n-1) - 3 = 3 - (2n + 3)?

Mathematics

1 answer:

natulia [17]3 years ago

4 0

Hey there! :)

1/2(n - 1) - 3 = 3 - (2n + 3)

Simplify.

1/2n - 1/2 - 3 = 3 - 2n - 3

Add like terms.

1/2n - 3 1/2 = -2n

Add 3 1/2 to both sides.

1/2n = -2n + 3 1/2

Then, add 2n to both sides.

1/2n + 2n = 3 1/2

Simplify!

2 1/2n = 3 1/2

Make everything into improper fractions!

5/2n = 7/2

Multiply everything by 2 to get rid of the denominators.

5/2n × 2 = 7/2 × 2

Simplify!

5n = 7

Divide both sides by 5.

n = 7/5

Hope this helped! :)

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Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq

castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

$-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)$

Considering 8y instead of 8 in eq(1)

We need to identify what action was completed to create this new equivalent system of equations? $-2x+4y=8, 2x+4y=32$

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

$-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8$

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

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2 years ago

Drag the numbers below to put them in order from least to greatest: 4 16 1 7 -2 -20

Mariulka [41]

Answer:

Are the 1 and 7 rogether? because if so then -20, -2, 4, 16, 17, if not then -20, -2, 1, 4, 7, 16

7 0

2 years ago

Which equation represents a line parallel to the line shown on the graph?

aleksley [76]

Your answer It would be y=2x+4

3 0

3 years ago

Evaluate the expression if a = 5, b = 12 and c = 4.

Natalija [7]

3 because 2*12 24 24/8 is 3 hope this helps

4 0

3 years ago

Read 2 more answers

The graph shows the function f(x)=3^x

tangare [24]

The answer is D.
You have to make the whole numbers equal to then solve for the exponents:
F(x) means y, therefore, y is 9.
9 = 3^x.
3^2 is the same as 9.
Then, 3^2 = 3^x.
Then solve for the exponents,
2 = x
Therefore your answer is 2.

8 0

3 years ago