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Andrei [34K]
3 years ago
7

Consider the following pair of equations:

Mathematics
1 answer:
Bond [772]3 years ago
6 0
So the equations are: 

y= 3x + 3

y= x- 1

By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)

so, x- 1= 3x + 3.  Now we isolate x and solve:
        +1          +1
x= 3x+ 4
-x  -x

0 = 2x+ 4
-4        -4

-4 = 2x
/2    /2

x= -2

Now, you can plug that back in to find y:

y = x- 1
y= -2 -1
y= -3

Then plug them both in to make sure it is correct. :o)
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5 0
3 years ago
Use distributive law to factor the given expression: 3+21a+15b
Reil [10]

Answer:

3(1+7a+5b)

Step-by-step explanation:

The distributive law states that

a\cdot (b+c)=a\cdot b+a\cdot c.

The expression 3+21a+15b consists of three terms:

  1. 3=3·1;
  2. 21a=3·7a;
  3. 15b=3·5b.

You can see that 3 is the common factor of these three terms, thus

3+21a+15b=3(1+7a+5b).

6 0
3 years ago
How do I simplify this?
Fudgin [204]
This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
7 0
3 years ago
I need help, someone help me, please
lara [203]

Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

6 0
2 years ago
Which of the following accurately pairs the part of an atom to its charge ?
rusak2 [61]
Electron—negative charge

Happy studying ^_^
8 0
3 years ago
Read 2 more answers
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