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For what value of the constant a does the system of equations below have infinitely many solutions? \(\begin{align*} 2x + 5y &= -8,\\ 6x &= 16 + a - 15y \end{align*}\)

 
 Jan 9, 2019

Best Answer 

 #1
avatar+15291 
+2

if a = -40   the equations become the same    2x+5y=-8    or    6x+15y=-24     

         there are infinite solutions to this equation (two variables , one equation)

 
 Jan 9, 2019
 #1
avatar+15291 
+2
Best Answer

if a = -40   the equations become the same    2x+5y=-8    or    6x+15y=-24     

         there are infinite solutions to this equation (two variables , one equation)

 
ElectricPavlov Jan 9, 2019

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