Answer:
No solution
Step-by-step explanation:
[tex]x + y = 3[/tex] and [tex]2x + 2y = 5[/tex]
To find the number of solutions, lets solve each equation for y
[tex]x + y = 3[/tex] , subtract x on both sides of the equation
[tex]y = -x+3[/tex]
[tex]2x + 2y = 5[/tex], subtract x on both sides of the equation
[tex]2y = -2x+5[/tex], divide the whole equation by 2
[tex]y = -x+\frac{5}{2}[/tex]
Now we look at the slope of both equations
The coefficient of x is the slope. slope of first and second equation is -1
Slopes are same , so they are parallel to each other
When the lines are parallel then there is no solution
