if x=-2 , y=6 is solution of equation 3ax+2by=c then find the value of b from 2(a-1)+2(3b-4)=4

Question

this question is asked fron linear equation with two variables

Answer 1

if x=-2 , y=6 is solution of equation 3ax+2by=c then find the value of b from 2(a-1)+2(3b-4)=4

this is solving simaltaneous equations.  the second equation is in variable a,b format.

in the first equation insert the values of x and y

3ax + 2by = c

3a(-2) + 2b(6) = c

1). -6a + 12b = c

2). 2(a-1)+2(3b-4)=4

2). 2a - 2 + 6b - 8 = 4

2). 2a + 6b = 14

final vedrsions of the original equations:

1). -6a + 12b = c

2). 2a + 6b = 14  multiply this by 3 to add the equations and eliminate the variable a

3*2). 6a + 18b = 42

1).   -6a + 12b = c

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30b = 42 + c

b = (42 + c) / 30