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Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y =7; (a-b) x+(a+b) y=3a+b -2

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Find the values of a and b for which the following system of equations has infinitely many solutions:
2x+3y =7
(a-b) x+(a+b) y=3a+b -2
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For the equation to have infinitely many solutions, we have:

Substituting the value of b in equation (2), we obtain

a-5 x1 =0

a =5

Thus, the values of a and b are 5 and 1 respectively.

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