5/3x−2y=−2 −x+y=2 what is the solution of the system of equations?

  (x, y) = (-6, -4)

Step-by-step explanation:

The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.

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If you like, you can solve the system algebraically. The second equation can be rewritten to give ...

  y = x +2

Substituting this into the first equation gives ...

  5/3x -2(x +2) = -2

  -1/3x -4 = -2

Adding 4 and multiplying by -3 gives ...

  x = -3(-2+4) = -6

Then our equation for y tells us ...

  y = -6 +2 = -4

The solution is (x, y) = (-6, -4).

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.