can you solve for a,b and c? 2.a-3b=-5 4a+3b=17 5c-2a=1

Question

Can you please solve it with work shown?

Answer 1

2a -3b =-5

4a +3b = 17

5c- 2a = 1

add the 1st two equations to get

6a = 12

a = 2

plug that into the last equation to solve for c

5c -2(2) = 1

5c =1 +4 = 5

c= 1

plug a=2 into either of the 1st two equations too solve for b

4(2)+ 3b = 17

3b = 17-8 = 9

b = 9/3 = 3

a, b, and c = 2,3, and 1

or if you know matrix algebra, several row operations would solve for the 3 variables