Solve this simultaneous equation x/2+ y/3=13/6 2x/7-y/4=5/14

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  (x, y) = (3, 2)

Step-by-step explanation:

These look like solution using elimination or substitution could be tedious, so we'll use the "cross multiplication" technique for solution. This requires each equation be in general form: ax+by+c = 0.

The first equation can be multiplied by 6 and 13 subtracted.

  x/2 +y/3 = 13/6

  3x +2y = 13

  3x +2y -13 = 0

The second equation can be multiplied by 28 and 10 subtracted.

  2x/7 -y/4 = 5/14

  8x -7y = 10

  8x -7y -10 = 0

Now, an array of coefficients can be constructed. The last column is the same as the first.

Cross-multiplying adjacent columns, we can write the equation ...

  1/(3(-7)-8(2)) = x/(2(-10)-(-7)(-13)) = y/(-13(8)-(-10)(3))

  1/-37 = x/-111 = y/-74

Solving for x and y, we have ...

  x = -111/-37 = 3

  y = -74/-37 = 2

The solution is (x, y) = (3, 2).

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step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.