1.

Find a and b if the equations x + y = 1 and(a+b) x + (a-b) y =4 have infinitely many solutions.

Answer»

ANSWER:

a=4

B=0

Step-by-step explanation:

If the system of equations has infinitely many solutions, the ratio of the coefficients of the TERMS are equal. Namely,

\frac{a+b}{1 } =\frac{a-b}{1} =\frac{4}{1}

we get,

a + b = 4

a - b = 4

SOLVING these, we get a=4, b=0


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