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2 years ago

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

Mathematics

1 answer:

matrenka [14]2 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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Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

notka56 [123]

Answer:

Let x represent the smaller number and y represent the larger number

For the first equation 

Four times a number added to 3 times a larger number is 31 is written as

4x + 3y = 31

Making y the subject we have

3y = - 4x + 31

Divide both sides by 3

That's

$y = - \frac{4}{3} x + \frac{31}{3}$

For the second equation

Seven subtracted from the larger number is equal to twice the smaller number is written as

y - 7 = 2x

Making y the subject

We have

Hope this helps you

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3 years ago

Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi

mars1129 [50]

The answer is 93

If we sorted out the number of each hours, the sequence will look like this

57 _ 69 _ 81 _ x _ 105

(in which x is the fourth hour of work)

We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
(81 - 69 = 12) . . . . proof

So, the amount of letters on the fourth hour would be:
81 letters + 12 letters = 93 Letters

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3 years ago

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kotegsom [21]

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