Answer :
- Value of x is 3
- Value of y is 2
Explaination :
Here we have been given with two equations and we have to calculate the values of x and y. So we would be using elimination method.
- 2x + 5y = 16 (Equation No 1)
- x - 8y = -13 (Equation No 2)
★ From Equation No 2:-
>> x - 8y = -13
>> x = 8y - 13
★ In Equation No 1:-
Substituting the value of x which we got above as (8y - 13) here.
>> 2x + 5y = 16
>> 2 (8y - 13) + 5y = 16
>> 2 × (8y - 13) + 5y = 16
>> 16y - 26 + 5y = 16
>> 21y - 26 = 16
>> 21y = 26 + 16
>> 21y = 42
>> y = 42 / 21
>> y = 6 / 3
>> y = 2
★ Finding out value of x:-
>> x = 8y - 13
>> x = 8 (2) - 13
>> x = 16 - 13
>> x = 3