Question

Solve the system using any algebraic method. Show all your steps.

19. 2x-5y=3
-4x+10y= -6
20. 8x+3y=10
-6x + y = -12

Answer 1

b

Explanation:

Answer 2

`First\ system\ of\ equations:\\ \left \{ {{2x-5y=3} \atop {-4x+10y=-6}} \right. second\ equation\ divide\ by\ 2\\ \left \{ {{2x-5y=3} \atop {-2x+5y=-3}}\right.\\+--------\\0=0\\There\ are\ infinitely\ many\ solutions\\\\Second\ system\ of\ equations:\\ \left \{ {{8x+3y=10} \atop {-6x+y=-12}} \right.second\ equation\ multiply\ by\ -3\\ \left \{ {{8x+3y=10} \atop {18x-3y=36}} \right\\+--------\\26x=46\\x= (46)/(26)= (23)/(13) \\-6x+y=-12\\y=-12+6x\\y=-12+6* (23)/(13)\\y=-12+(138)/(13)`

`y=-12+10 (8)/(13) \\y=-1 (5)/(13)`