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zzz [600]
3 years ago
7

What's the solution for 2x 7y=2 x y=-1

Mathematics
1 answer:
Lerok [7]3 years ago
5 0
<span>Simplifying

(2x + -7y ) = 0

Multiply
(2x + -7y) * (x + y) </span><span>
(2x * (x + y) + -7y * (</span><span>x + y)) = 0
</span>((x * 2x + y * 2x) + -7y * (x + y)) = 0<span>

</span>Reorder the terms:
((2xy + 2x2) + -7y * (x + y)) = 0
((2xy + 2x2) + -7y * (x + y)) = 0
(2xy + 2x2 + (x * -7y + y * -7y)) = 0
(2xy + 2x2 + (-7xy + -7y2)) = 0<span>

Reorder the terms:
(2xy + -7xy + 2x2 + -7y2) = 0
</span>
<span>Combine like terms: 2xy + -7xy = -5xy
(-5xy + 2x2 + -7y2) = 0

</span>Solving -5xy + 2x2 + -7y2 = 0<span>

Solving for variable 'x'.

Factor a trinomial. 
(2x + -7y)(x + y) = 0
</span>



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Answer:

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Step-by-step explanation:

1. Find the gcf (greatest common factor) which is 2

2. Divide by each of the factors and put it inside of the parentheses

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2 years ago
Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
iris [78.8K]

Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

2 = X

So, for 2 additional days bith charges are equal.  

6 0
2 years ago
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