Solve the equations 2a-3b=-5, 4a+3b=17 and 5c-2a=1?
2 Answers
Explanation:
Adding (A) and (B), we get
i.e.
Putting this in (B), we get
or
and putting value of
or
and
Explanation:
If we add the first 2 equations, we will eliminate b and be able to solve for a
2a-3b=-5color(white)(xxx)to(1)
4a+3b=color(white)(xx)17color(white)(xx) to(2)
"---------------------"
6a+0color(white)(x)=color(white)(xx)12rArra=2 Substitute a = 2 into (2)
(4xx2)+3b=17rArr8+3b=17
rArr3b=17-8=9rArrb=3 Substitute a = 2 into the third equation and solve for c
rArr5c-(2xx2)=1rArr5c-4=1
rArr5c=1+4=5rArrc=1
"Thus " a=2,b=3" and " c=1