Question

a+b=5
a-b=1
find a and b answers using algebra

Answer 1

Answer:

a=3, b=2

Step-by-step explanation:

a+b=5

a-b=1

or, 5(a-b) = 5

or, 5(a-b) = a+b

or, 5a-5b = a+b

or, 5a-a = b+5b

or, 4a = 6b

or, 2a = 3b

or, b = 2/3 a

a+b = 5

or, a + 2/3 a = 5

or, 5/3 a = 5

or, 5a = 15

or, a = 3

b = 2/3 a

or, b = 2/3 × 3 = 2

Answer 2

Answer:

a is 3 and b is 2

Step-by-step explanation:

a + b = 5 -------------------------------eq.1

a - b = 1 --------------------------------eq.2

From eq.1 we get ,

a = 5 - b

So by substituting value of a in eq.2, we get,

(5 - b) - b = 1

5 - 2b = 1

-2b = 1-5

-2b = -4

b = -4/-2

b = 2

So from eq.1 , we get,

a + 2 = 5

a = 5 - 2

a = 3