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Zielflug [23.3K]
2 years ago
9

Does the system have one solution,no solution,or infinitly many? Use substitution to justify your answer

Mathematics
1 answer:
Bad White [126]2 years ago
3 0

Answer:

(0,3) One solution

Step-by-step explanation:

Step: Solve x+5y=15for x:

x+5y=15

x+5y+−5y=15+−5y(Add -5y to both sides)

x=−5y+15

Step: Substitute −5y+15for x in 7x+2y=6:

7x+2y=6

7(−5y+15)+2y=6

−33y+105=6(Simplify both sides of the equation)

−33y+105+−105=6+−105(Add -105 to both sides)

−33y=−99

−33y

−33

=

−99

−33

(Divide both sides by -33)

y=3

Step: Substitute 3 for y in x=−5y+15:

x=−5y+15

x=(−5)(3)+15

x=0(Simplify both sides of the equation)

Therefore (0,3) which is one solution

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HELP I DONT KNOW THE ANSWER
il63 [147K]

9514 1404 393

Answer:

  3/4; 1/4, 1/4, 1/4

Step-by-step explanation:

The intent here is to let you demonstrate your understanding that multiplication by an integer is the same as repeated addition.

Your knowledge of fractions tells you ...

  \dfrac{1}{4}\times3=\dfrac{3}{4}

The factor of 3 means this is equivalent to adding 1/4 a total of 3 times:

  \dfrac{1}{4}\times3=\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}

6 0
2 years ago
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou
Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0
2 years ago
Multiply using a special product formula (6x-8) (6x+8)
ANEK [815]

The correct answer is B.

6x*6x=36x

-8*+8=-64

Thus, our equation is 36x-64

Hope this helps!

4 0
3 years ago
Me ayudan con esa ecuacion por sustitucion con la comprobacion pliss
attashe74 [19]
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5

1/5x+3y/2=2  => (1/5)x + (3/2)y = 2

Eliminate the fractional coefficients:  Mult. the first equation by 4 and mult. the second equation by 10:


2x + 15y = 20     

</span><span>Multiply the 1st equation by -1:

-</span>2x - 3y = -20
2x + 15y = 20 
-------------------
       12y = 0, so y = 0.  Then the first equation becomes  2x + 3(0) = 20, or
                                     x=10.

Solution is (10,0).
8 0
3 years ago
Mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
jeyben [28]

Answer:

the total cost would be $45.2

8 0
3 years ago
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