What is the solution of the linear system? 3x+y=-1 and 4x+2y=2

Question

It has to do with a linear system

Answer 1

3x + y = -1     equation 1

4x + 2y = 2    equation 2

 

multiply equation 1 by -2 so that

you can add the equations together

and eliminate the y variable.

 

-2(3x + y) = -2(-1)

-6x -2y = 2

 

-6x - 2y = 2     -2(equation 1)

 4x + 2y = 2     equation 2

---------------

-2x        = 4     sum

 

x = 4/-2 = -2

 

Replace x with -2 in one of the original equations

 

3x + y = -1

3(-2) + y = -1

-6 + y = -1

y = 5

 

The point of intersection of the two lines

is the point (-2,5)