Find any 3 (x,y) pairs that are solutions for the equation 2x-5y=10 . Show your work

Answer:(0,-2), (5,0) and (10,2).Step-by-step explanation:Given equation is [tex]2x-5y=10[/tex].Now we need to find 3 pairs of solutions in (x,y) form for the given equation.As [tex]2x-5y=10[/tex] is a linear equation so we are free to pick any number for x like x=0, 5, 10Plug x=0 into [tex]2x-5y=10[/tex], we get:[tex]2(0)-5y=10[/tex][tex]0-5y=10[/tex][tex]-5y=10[/tex][tex]y=\frac{10}{-5}[/tex][tex]y=-2[/tex]Hence first solution is (0,-2)We can repeat same process with x=5 and 10 to get the other solutions.Hence final answer is (0,-2), (5,0) and (10,2).