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If (2,3) is a solution of the equation 7x-3y=a and (a,a+1) is a solution of the equation 2x+y=b , find the values of a and b.

Sagot :

Zarahaider4211idn

Answer:

a = 5

b = 16

Step-by-step explanation:

Solving the Problem

We're told that

  • plugging in the coordinates of (2,3) into the equation 7x - 3y will find the value of a
  • plugging in the coordinates of (a, a+1) into the equation 2x + y will find the value of b

and we need to find the values of a and b.

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We can start by finding the value of a from the given equation and values.

                                      7(2) - 3(3) = 14 - 9 = 5 = a

This means that (a, a + 1) = (5, 6).

So, we can plug the coordinates into its equation to find the value of b.

                                      2(5) + 6 = 10 + 6 = 16 = b

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