If a + b = 10 and 3a + 2b = 40, then (3a + b) will be _____?
If a + b = 10 and 3a + 2b = 40, then (3a + b) will be _____?
Explanation
Given equations:
a + b = 10 ... (1)
3a + 2b = 40 ... (2)
We need to find 3a + b.
Multiply equation (1) by 2:
2a + 2b = 20 ... (3)
Subtract equation (3) from equation (2):
(3a + 2b) - (2a + 2b) = 40 - 20
a = 20
Now, find b:
a + b = 10
20 + b = 10
b = -10
Calculate 3a + b:
3a + b = 3(20) + (-10)
= 60 - 10
= 50