Answer:
[tex]x=5[/tex]
[tex]y=-2[/tex]
Step-by-step explanation:
Given the system of equations [tex]\left \{ {{4x+5y=10} \atop {8x+5y=30}} \right.[/tex], you can use the Elimination Method to solve it.
Multiply the first equation by -1, add both equations and then solve for the variable "x":
[tex]\left \{ {{-4x-5y=-10} \atop {8x+5y=30}} \right.\\........................\\4x=20\\\\x=\frac{20}{4}\\\\x=5[/tex]
And finally, substitute the value of the variable "x" into any original equation and solve for the variable "y". Then:
[tex]4x+5y=10\\\\4(5)+5y=10\\\\20+5y=10\\\\5y=10-20\\\\y=\frac{-10}{5}\\\\y=-2[/tex]
