Question

Check the system of eqution x+2y+=6 and 2x+4y=12 has a unique solution, Infinity many solutions or no solutions solve them graphically ?

If you answer I will mark as brainlist pls

Answer 1

To solve graphically, you need to plot the graphs of the two given equations.

x + 2y = 6
2x + 4y = 12,

These are two straight lines.

If they intersect each other at one point, they have one unique solution.

If the lines coincide with each other, they have infinitely many solutions.

If the lines are parallel to each other, they have no solutions.

See the plot in the attachment. you can see that the lines coincide with each other. So they have infinitely many solutions. When two lines coincide, only one line is formed for both equations.

Answer 2

THERE ARE INFINITY SOLUTION

x+2y=6 and 2x+4y=12

a1 = 1 , b1 = 2 , c1 = 6

a2 = 2 , b2 = 4, c2 = 12

a1/a2 = b1/b2 = c1/c2

===> 1/2 = 2/4 = 6/12

===> 1/2 = 1/2 = 1/2

so, there are INFINITY SOLUTION