1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
3 years ago
14

Y=x+2 3x+3y=6 solving systems by substitution

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:6

Step-by-step explanation:Reorder

2

2

and

−

x

-

x

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

y

=

6

3

x

+

3

y

=

6

Replace all occurrences of

y

y

in

3

x

+

3

y

=

6

3

x

+

3

y

=

6

with

−

x

+

2

-

x

+

2

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

(

−

x

+

2

)

=

6

3

x

+

3

(

-

x

+

2

)

=

6

Simplify

3

x

+

3

(

−

x

+

2

)

3

x

+

3

(

-

x

+

2

)

.

Tap for more steps...

y

=

−

x

+

2

y

=

-

x

+

2

6

=

6

6

=

6

Since

6

=

6

6

=

6

, the equation will always be true.

y

=

−

x

+

2

y

=

-

x

+

2

Always true

Remove any equations from the system that are always true.

y

=

−

x

+

2

You might be interested in
What is the measure, in degrees, of an angle that represents 50/350 of a circle?
JulsSmile [24]

Answer:

\mathrm{A.\: 50^{\circ} }

Step-by-step explanation:

Since there are 360 degrees in a circle, we can set up the following proportion:

\frac{50}{360}=\frac{x}{360},\\360x=50\cdot 360,\\x=\boxed{50}

8 0
3 years ago
The composite figure is made up of a rectangular prism and a___a0___.a1
zavuch27 [327]

Answer:

The composite figure is made up of a rectangular prism and  square pyramid

Step-by-step explanation:

The figure on top is square pyramid since the base is a square and the 4 sides are triangles.  The bottom is a rectangular prism since the figure is made up of side rectangular faces

8 0
3 years ago
ID: A
snow_tiger [21]

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec  converted to miles per hour

<u>100 yards</u> x <u> 60 sec</u>   x  <u> 60 min</u>   x  <u> 1 mile     </u>    =  13.63 miles/hr

   15 sec        1 min          1 hr           1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

1 mile = 1760 yards NOT 5280 yards

7 0
3 years ago
For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
4 years ago
What number is needed to complete the pattern
FrozenT [24]
56 because that how u go up and down to get the nember that u want to get
4 0
3 years ago
Other questions:
  • In the question you have to Simplify (y²)³
    7·2 answers
  • What is this mess. you will get 29 pts if you know
    15·2 answers
  • X^2+8x=9<br>_________=0<br>___ ___=0<br>solution set: ___​
    12·1 answer
  • Mrs. martina wants to put a wire fence around her garden which is 15 feet long and 8 feet wide. how much fencing does she need?
    12·2 answers
  • WILL CROWN BRAINLIEST, GIVE THANKS, AND AMAZING RATING
    11·1 answer
  • 1.
    8·1 answer
  • Solve equation2/3*2/3*2/3*2/3=
    15·1 answer
  • The domain of a function f(x) is x&gt;_ 0, and the range is y&lt;_ -1. What are the domain and range of its inverse function, f'
    7·1 answer
  • HELP????!?!?!??!? {PLEASEEEEEEEE
    7·1 answer
  • How many triangles can be constucted measuring 60°, 60°, and 40°​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!