Respuesta :

irspow
4x=20-8y

x=5-2y now use this value of x in the second equation...

3(5-2y)+6y=15

15-6y+6y=15

15=15  This is true for any y or x value.

So there are infinitely many solutions as the two equations describe the same line.
[tex]4x + 8y=20 \ \ \ \ \ : \ \ \ \ \ 3x+6y=15[/tex] 

[tex]\text{Solve for x in 4x+8y=20}[/tex] 

[tex]4x+8y=20 [/tex] 

[tex]4(x+2y)=20 [/tex] 

[tex]x+2y= \dfrac{20}{4} [/tex] 

[tex]x+2y=5 [/tex] 

[tex]x=5-2y [/tex] 

[tex]15=15 [/tex] 

[tex]\text{Infinitely Many Solutions}[/tex]