Respuesta :

sqdancefan

Answer:

  • x = -3
  • y = 7

Step-by-step explanation:

You want to solve the system of equations ...

  • x +4y = 25
  • 3x +y = -2

Solution

We can eliminate y by subtracting the first equation from 4 times the second:

  4(3x +y) -(x +4y) = 4(-2) -(25)

  11x = -33

  x = -3

Using the second equation, we have ...

  y = -2 -3x = -2 -3(-3) = 7

The values of x and y that make the equation true are ...

  • x = -3
  • y = 7

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Additional comment

The sum of matrices is the sum of corresponding terms. The constant terms on the diagonals are irrelevant to the values of x and y. The off-diagonal sums give the two equations solved here.

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