MATHEMATICS MIDDLE SCHOOL

How do you solve substitution to solve the sytem
x+y=2
-2x+y=2

Answers

Answer 1
Answer: so you want to make one of the equations equal to one of the placeholders exg y=x+3

so we have
x+y=2 and
-2x+y=2

I chose to make -2x+y=2 equal to y so
-2x+y=2
add 2x to both sides
y=2+2x

subsitute 2+2x for y in x+y=2
x+2+2x=2
add like terms
3x+2=2
subtract 2 from both sides
3x=0
x=0

subsitute x=0 in x+y=2
0+y=2
y=2

x=0
y=2
Answer 2
Answer: separate one variable in either equation, so for example:

x=-y+2
-2x+y=2 

 (if you dont know how to do that, tell me)

now that you have the variable separated, you can substitute the top equation in for the x in the second equation like this

-2(-y+2)+y=2

and now use the distributive property to get:

2y-4+y=2

and just combine like numbers.....

3y-4=2

and if you dont know how to solve it from here, comment to tell me but the rest of the problem would go like this:

3y-4=2
   +4 +4

3y=6
 /3  /3

y=2

and then you take this y and plug it back into one of the original two equations waaayy up at the top like this:

x+2=2

and solve...

x+2=2
  -2 -2 

x=0

so your final answer is (0,2)! Hope this helps!

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Hey how do you divide A fraction?I am Actually looking for a friend. ;)

Pls simplify !
−10x2 − 39x + 4
−15x2 − 21x + 18

Answers

Answer:

-28-60x

Step-by-step explanation:

-20-39x+4-30-21x+18

-20-30+18+4-39x-21x

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My number has 2 hundreds. the tens digit is 9 more than the ones digit my number is

Answers

290 because the two hundreds is the 2 in the hundreds place and then tens is 9 more than ones, so then the ones cant be anymore than 0 because if its 1 then there is 10 which adds to the hundreds making it 300 so the ones has to be 0 and then 9 more so 9

Which is bigger, three fourth of 28 or two fourth of 28

Answers

3/4 of 28 is 21. 2/4 (the same as one half) of 28 is 14. So three-fourth's of 28 is bigger.

A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of getting the given result.More than three twos.

A.

0.433

B.

0.564

C.

0.905

D.

0.403

Answers

Answer:

Probability (P) (k successes out of n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)

for this problem n=20, p = 1/6(probability of rolling 1 two) is approximately 0.1667

P ( of getting more that 3 two's) = 1 -P(0 two's out of 20 trials) -P(1 two out of 20 trials) -P(2 two's out of 20 trials) -P(3 two's out of 20 trials)

P ( of getting more that 3 two's) = 1 -0.026 -0.104 -0.198 -0.238 = 0.434

My answer is A

How to solve??????????HELP

Answers

I presume you're talking about number 3?

Solution

I = prt (I being the interest)

I =

5000 * 5 *.05

I = 1,250$

Find the area of the irregular figure

Answers

The figure can be separate into a triangle, a rectangle and a trapezium.


Triangle:

Area = 1/2 x base x height

Area = 1/2 x 16 x (25 - 4) = 168 units²


Rectangle:

Area = length x Width

Area = 16 x 4 = 64 units²


Trapezium:

Area = 1/2 (a + b) x h

Area = 1/2 (25 + 15) (10) = 200 units²


Total Area = 200 + 64 + 168 = 432 units²


Answer: 432 units²

Answer:

the answer is 305

Step-by-step explanation:

yes because it did
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