Answer
(-1,4)
Work Step by Step
You have the equations:3x+2y=5 and 4x+5y=16. Multiply the first equation by 4 and the second equation by -3 in order to be able to eliminate a variable:
4(3x+2y=5)
12x+8y=20 ---- -3(4x+5y=16)
-12x-15y=-48.
Combine the equations in order to eliminate a variable:
12x+8y=20
-12x-15y=-48
-7y=-28
y=4
Plug in y=4 into one of the equations:
3x+2(4)=5
3x+8=5
3x=-3
x=-1.
Substitute y=4 and x=-1 into one of the equations in order to check the solution:
4(-1)+5(4)=16
-4+20=16
16=16
The solution is (-1,4)
