Question

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

Answer 1

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