# Solve the equations #2a-3b=-5#, #4a+3b=17# and #5c-2a=1#?

##### 2 Answers

#### Answer:

#### Explanation:

**....................................(A)**

**....................................(B)**

**....................................(C)**

Adding (A) and (B), we get

i.e.

Putting this in **(B)**, we get

or

and putting value of **(C)**, we get

or

and

#### Answer:

#### 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#