Answer:
A = 3 + 9/10
B = -(3 + 3/10)
Explanation:
We have two numbers, A and B, such that:
A + B = 3/5
A - B = 7 + 1/5
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate A in the first equation:
A = 3/5 - B
Now we can replace this in the other equation:
A - B = 7 + 1/5
(3/5 - B) - B = 7 + 1/5
3/5 - 2*B = 7 + 1/5
-2*B = 7 + 1/5 - 3/5
-2*B = 7 - 2/5 = 35/5 - 2/5 = 33/5
B = -(33/5)/2 = -33/10 = - 30/10 - 3/10 = -3 - 3/10 = -(3 + 3/10)
Now that we know the value of B, we can use the equation
A = 3/5 - B
To find the value of A:
A = 3/5 - ( -(3 + 3/10))
A = 3/5 + (3 + 3/10) = 6/10 + 3 + 3/10 = 3 + 9/10
The numbers are:
A = 3 + 9/10
B = -(3 + 3/10)