Answer:
(x, y) = (3, 5)
Step-by-step explanation:
[tex]5x+2y=25\\5x-y=10[/tex]
Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:
[tex]5x+2y=25\\\\2(5x-y=10)\\10x-2y=20[/tex]
Add from top to bottom:
[tex]\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3[/tex]
Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:
[tex]\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5[/tex]
(x, y) = (3, 5)
