identify the solution(s) of the system of equations, if any x+4y-7 4x-12y+7

Question

Identify the solution(s), of the system of equations, if any 4x+2y=7                                                                                                                                                     y=5-5x

Answer 1

Hi,

 

If you use y from the second equation in the first you have 4x+2(5-5x)=7, this reduces to 4x+10-10x=7, collecting like terms gives -6x=-3 or x=1/2 putting this value in the second equation gives y=5-5/2=10/2-5/2=5/2 so the solution is x=1/2, y=5/2. This is the point where the two lines intercect and can be seen if you graph both lines on the same graph.

 

Jim