Question

solve: 2x+3y=-5 and 5x-2y=16​

Answer 1

Answer:

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Answer 2

Answer:

  x = 2,   y = -3

Step-by-step explanation:

Given

 2x + 3y = -5    ...(1)

 5x - 2y = 16    ...(2)

Multiply (1) by 2 and (2) by 3 to get equations where y has the same coefficient, ready to eliminate them:

 4x + 6y = -10    ...(3)

15x - 6y = 48    ...(4)

Now add (3) and (4) together, eliminating the y terms:

19x = 38   ⇒   x = 38/19   ⇒   x = 2

Substituting this into one of the equations (let's use (2)) gives y:

 2y = 5x - 16 = 10 - 16 = -6   ⇒   y = -3

Hope that helps