Question 113587

Find values for m and b in the following system so that the solution to the system is (-3, 4). 

Given:

{{{5x + 7y =b}}} 
{{{mx + y = 22}}}

{{{x =-3}}}

{{{y = 4}}} 

So:

{{{5x + 7y =b}}}
{{{5(-3) + 7*4 =b}}} 
{{{-15 + 28 =b}}} 
{{{13 =b}}}
Or
{{{b = 13}}} 


{{{mx + y = 22}}}

{{{-3m + 4 = 22}}}
	
{{{-3m = 22 - 4}}}
	
{{{-3m =  18}}}
	
{{{m =  18/-3}}}
	
{{{m =  - 6}}}

then we have system:

{{{5x + 7y = 13}}} 
{{{-6x + y = 22}}}

and its solution is:

*[invoke solving_linear_system_by_elimination 5, 7, 13, -6, 1, 22]