Solve the following system of equations.

x + y = 3
2x + 2y = 6

(0, 3)
(1.5, 1.5)
no solution
infinite number of solutions

Question

Solve the following system of equations.

x + y = 3
2x + 2y = 6


       (0, 3)
       (1.5, 1.5)
       no solution
       infinite number of solutions

amoodarya · Answer

they are the same 
if you divide second by 2 
you will see

amoodarya · Answer

multiply 1st by -2  
then add eq.

smored · Answer

infinite # of solutions

anonymous · Answer

In any system of equations, always use one equation to solve for one of the variables. I will use the first equation to solve for y in terms of x.$$x+y=3$$$$y=3-x$$Then substitute this new expression (3-x) for y in the other equation.$$2x+2(3-x)=6$$$$2x+6-2x=6$$$$2x-2x=6-6$$$$0=0$$When is 0 equal to 0? Always! So no matter what x and y are, they work. Therefore, there an infinite number of solutions.