Answer
I (2,-3)
Work Step by Step
You have the equations:2x+5y=-11 and 10x+3y=11.Multiply eq.1 by 5 to get 10x+25y=-55.Then solve using elimination:
10x+25y=-55 10x+3y=11 -subtract eq.2 from eq.1-
22y=-66 -divide both sides by 22-
y=-3
Plug in y=-3 into an equation:
10x+3(-3)=11 -distribute-
10x+-9=11 - add 9 to both sides-
10x=20 -divide both sides by 10-
x=2
Check your work by plugging in y=-3 and x=2 into an equation:
2(2)+5(-3)=-11
4+-15=-11
-11=-11
The solution is (2,-3) which is choice D.
