Question

What is the solution to this system of equations?X+ 2y = 4| 2x-2y = 5(3.-5)(3.)no solutioninfinitely many solutions

Answer 1

The given system of equation :

x +2y =4

2x -2y =5

On adding both equation we get

x+2y+2x-2y=4+5

3x=9

x=3

So, for y, substitute x=3

x+2y=4

3+2y=4

2y=4-3

2y=1

y=1/2

The solutions is (3,1/2)

The system of linear equation have infintely many solution if they are coincidient, i.e. slope are equal

The given expression :

x+2y =4

2y=4-x

y=(4-x)/2

y = 2-x/2

So slope is (-1/2)

The second equation : 2x-2y=5

2y=2x-5

y=(2x-5)/2

y=x-