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emmainna [20.7K]
2 years ago
15

Solve the system using elimination. 3x – y = 28 3x + y = 14

Mathematics
2 answers:
leonid [27]2 years ago
5 0

Answer:

Step-by-step explanation:

Let 3x-y=28-----------(1)

Let 3x+y =14-----------(2)

(2)-(1)

3x-3x + y-(-y) =14-28

2y=-14

y=-14/2= -7

By adding 1 and 2

3x+3x+(-y)+(y) = 28+14

6x = 42

X=42/7=6

Vikki [24]2 years ago
4 0

Answer:

x= 7, y= -7         or          (7, -7)

Step-by-step explanation:

3x-y=28

3x+y=14

because the y is opposite of each other in both equations you can cancel them out

3x=28

3x=14

next you add 3x to 3x, then 28 to 14 and get...

6x=42

next divide both sides by 6 and you get your answer for x...

x=7

now you must solve for y and you do this by substituting what you found for x in one equation it doesn't matter which because you'll get the same answer but you can check for both to make sure...

3(7)+y=14

21+y=14

y=-21+14

y=-7

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Tim drove 217 miles in 3.5 hours. Emily drove 244 miles in 4 hours. Who drove faster?
Naya [18.7K]

Answer:

Tim

Step-by-step explanation:

Tim drove 62 miles per hour you get this by dividing 217 by 3.5 and then you divide Emily's. 244/4 and you get 61

8 0
2 years ago
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and
motikmotik

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

8 0
3 years ago
Read 2 more answers
Awnser and show your work <3
marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

\frac{5}{x} = \frac{1}{5}

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

\frac{3}{x} = \frac{1}{8}

cross multiply to get

x*1=3*8

x= 24 players

6 0
2 years ago
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school
harkovskaia [24]

78 students chose lion

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2 years ago
Read 2 more answers
Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3
xxMikexx [17]

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

\frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }

=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

=  \frac{ {( \sqrt{5} +  \sqrt{3} ) }^{2} }{( \sqrt{5} -  \sqrt{3} )( \sqrt{5}  +  \sqrt{3})  }

=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

=  \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}

=  \frac{8 + 2 \sqrt{15} }{2}

= 4 +  \sqrt{15}

3 0
2 years ago
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