Answer:
Ordered pair: (3,1)
Explanation:
Given: System of equation
2a - 5b = 1 and 3a + 5b = 14
Using elimination method.
In this method, we make same coefficient of any one variable and cancel it.
2a - 5b = 1
3a + 5b = 14
We make coefficient of a same.
2a - 5b = 1 ( Multiply by 3)
6a - 15b = 3
3a + 5b = 14 (Multiply by -2)
-6a - 10b = -28
Add both equation
6a - 15b = 3
-6a - 10b = -28
-25b = -25
b = 1
Put b=1 into 2a - 5b = 1
2a - 5(1) = 1
2a = 6
a = 3
Solution: a=3 and b=1
Ordered pair: (3,1)
Hence, The Ordered pair (3,1) is a solution to the given system of equation.