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Tom [10]
2 years ago
10

URGENT WILL MARK BRAINLIEST Show your work and solve for x and y.3x + y = 82x + 4y = 12​

Mathematics
2 answers:
lakkis [162]2 years ago
7 0

Answer:

x=2, y=2

Step-by-step explanation:

-2(3x+y=8)

3(2x+4y=12)

-6x+-2y=-16

6x+12y=36

0+10y=20

       y=2

3x+2=8

3x=6

x=2

mars1129 [50]2 years ago
3 0
  • 3x+y=8--(1)

2x+4y=12

  • x+2y=6--(2)

  • (1)×1 and (2)×3

\\ \rm\Rrightarrow 3x+y=8

\\ \rm\Rrightarrow 3x+6y=18

Subtract both

\\ \rm\Rrightarrow -5y=-10

\\ \rm\Rrightarrow y=\dfrac{-10}{-5}

\\ \rm\Rrightarrow y=2

Put the value in eq(2)

\\ \rm\Rrightarrow x+2(2)=6

\\ \rm\Rrightarrow x+4=6

\\ \rm\Rrightarrow x=6-4=2

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Is it possible for two numbers to have a difference of 8 and a sum of 1?
topjm [15]

Answer: yes , it is possible

Step-by-step explanation:

Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.

Combining the two , we have :

x + y = 1 ............................... equation 1

x - y = 8 ................................. equation 2

solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,

x = 1 - y ...................... equation 3

Substitute equation 3 into equation 2 ,

1 - y - y = 8

1 - 2y = 8

add 2y to both sides

1 = 8 + 2y

subtract 8 from both sides

1 - 8 = 2y

- 7 = 2y

divide through by 2

y = \frac{-7}{2}

y = - 3.5

substitute y = -3.5 into equation 3 to find the value of x , we have

x = 1 - y

x = 1 - ( - 3.5 )

x = 1 + 3.5

x = 4.5

Let us check :

x + y will be

4.5 + (-3.5) = 1

Also ,

x - y will be

4.5 - (-3.5)

⇒ 4.5 + 3.5 = 8

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3 years ago
Plz help ASAP!!!!!!!!!!<br> will mark brainliest
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Answer:

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Step-by-step explanation:

\frac{2.7}{5.1}  =  \frac{x}{1.7}  \\   \frac{2.7 \times 1.7}{5.1}  = x \\ x = 0.9

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