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adell [148]
3 years ago
13

How do I solve this equation

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0
-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts.  First we have to solve for one of the variables in one of the equation in terms of the other variable.  I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8      add y to each side
-x = 8 + y      divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation.  In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1      multiply the 2 through the parentheses
-16 - 2y - y = -1      combine like terms
-16 - 3y = -1            add 16 to both sides
-3y = 15                   divide each side by -3
y = -5

Now we have a value for y.  We need to plug it into either of the original equations then solve for x.  I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8            multiply -1 through the parentheses
-x + 5 = 8                subtract 5 from each side
-x = 3                      divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

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Natural 9,53
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+integers 9,53
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7 0
3 years ago
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Why does the associative property work with addition but not subtraction?
lbvjy [14]

Answer:

Contrary to addition, subtraction doesn't have the associative property. If we subtract the first two numbers, 10 minus 5, it gives us 5. ... Changing the way of associating the numbers in subtraction changes the answer. Thus, subtraction doesn't have the associative property.

Step-by-step explanation:

8 0
2 years ago
Isabella filled her pool with water at a constant rate.
Anon25 [30]

Answer:

The size of Isabella's pool is 220 liters.

Step-by-step explanation:

Let the size of Isabella's pool be x liters, R be the rate of fill, t be the time of fill and V be the volume of water filled in the pool.

As the rate of fill is constant,

Therefore, volume of water filled in the pool can be given as,

V= Rt

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From the table,

Volume of water left after t=2 minutes is 184 liters.

So, x-R(2)=184\\x-2R=184 -------- 1

Volume of water left after t=12 minutes is 4 liters.

So, x-R(12)=4\\x-12R=4 ------------2

Multiply equation 1 by 6 and equation 2 by -1, we get

6x-12R=1104\\-x+12R=-4

Now, we add the above equations, we get

(6x-x)+(12R-12R)=1104-4\\5x=1100\\x=\frac{1100}{5}=220

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6 0
3 years ago
Hello. please answer this question, I WILL mark brainliest :)
Ivanshal [37]

Answer:

1. D) 0.113

2 C) 11

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5 0
2 years ago
14p - 8 = 22 + 20p<br>could someone help ​
nadezda [96]

Answer:

P = -5

Step-by-step explanation:

First try to get the variable p by its self and the whole numbers on the opposite side.

14p - 8 = 22 + 20p

-14p                - 14 p

-8 = 22 + 6p

-22  -22      

-30 = 6p

Then divide to get P alone

-30 = 6p

/6        /6

-5 = p

5 0
3 years ago
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