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3 years ago

Solving systems of equations algebraically. y = x + 2 y= 3x -2 And SHOW YOUR WORK!!!!

Mathematics

1 answer:

matrenka [14]3 years ago

6 0

Answer:

x = 2

y = 4

Step-by-step explanation:

Since it gives you the "value" of y, just plug one of them into an equation:

y = x + 2

3x - 2 = x + 2

Now, subtract x from both sides:

3x - 2 = x + 2

-x - x

__________

2x - 2 = 2

Then, add 2 to both sides:

2x - 2 = 2

+ 2 + 2

________

2x = 4

Finally, divide both sides by 2:

2x = 4

x = 2

Now to get y, just plug in 2 for x in an equation:

y = x + 2

y = 2 + 2

y = 4

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The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an

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Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

$A=LW$

we have

$L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft$

substitute

$A=(12)(10.5)=126\ ft^2$

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

we have

$L=(12+x)\ ft\\W=10.5\ ft$

The new area is

$A=10.5(12+x)\ ft^2$

The expanded form of the expression is

Apply distributive property

$A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2$

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4 years ago

3(x-6)-8x=-2 + 5(2x+1)

postnew [5]

Answer:

x = -1

Step-by-step explanation:

3(x - 6) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 10x + 3

-15x = 15

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2 years ago

Read 2 more answers

How do you show the work for 1162 divided by 4

Blizzard [7]

You would solve, so 1162/4. Show the steps of you dividing it down on notes of paper

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3 years ago

2x+53=53 8x+3=42 What is x and y?

Anon25 [30]

Answer:

Solve the following system for x and y:

{2 x + 53 = 53, 8 x + 3 = 42}

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Step-by-step explanation:

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3 years ago

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The Cookie Monster stole 4 cookies before getting caught by grandma Cookie Monster.He continues stealing cookies when he gets ca

svlad2 [7]

Answer:

Cookie monster needs to steal at least 6 cookies more.

Step-by-step explanation:

Given:

Number of cookies already stole = 4

Total number of cookies he wants to steal $\geq 10$

We need to find how many cookie he needs to steal more.

Solution:

Let number of cookies he needs to steal more be 'x'.

Now we can say that;

Number of cookies already stole plus number of cookies he needs to steal more should be greater than or equal to Total number of cookies he wants to steal

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3 years ago