For substitution, you need to get a variable by itself. This is easy by subtracting 3x from both sides of the first equation. You should end up with y= -3x + 10. Now that you know a substitute for y, you can plug it in for y in the 2nd equation.

-4x -2( -3x +10)=2

-4x +6x -20=2

2x -20=2

2x =22

x=11

Now that you know what x is, you can plug it back into the first equation to find y.

y= -3x +10

y= -3(11) +10

y= -33 +10

y= -23

"Given 3x + y = 10.........(1)

-4x − 2y = 2.............(2)

using substitution method

by equation (1) y=10-3x substitute in equation (2)

=>-4x-2(10-3x)=2

=>-4x-20+6x=2

=>-20+2x=2

=>2x=22

=>x=11

again substitute x value in equation (1)

=>3(11)+y=10

=>33+y=10

=>y=10-33

=>y=-23"