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Morgarella [4.7K]
3 years ago
9

Solve the system of equations. x + 3y = −12x + 2y = 6

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

x=-3/19

y=39/19

Step-by-step explanation:

the equations can be written as the following system

x+3y=6\\-12x+2y=6

If the second equation is multiplied by 3/2 it will become -18x+3y=9

If that equation is then subtracted with the first you will obtain the following

-19x=3, it means x=-3/19

The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19

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Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
telo118 [61]

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
  • B. 6x = 84  
  • D. x = 14

Learn more on equations here; brainly.com/question/2972832

7 0
2 years ago
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Maksim231197 [3]

Answer:

3^15/5^16

Step-by-step explanation:

(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)

= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)

= 3^15 / 5^16

4 0
2 years ago
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