6x + y = 4

X - 4y = 19

Solving systems by substitution

6x+y=4

X-4y=19

You are going to want to take - 4y and put it to the other side:

X-4y=19

Which is: x=4y+19

6x+y=4

Now substitute x!

6 (4y+19) + y=4

Distribute it

24y+114+y=4

Now combine like terms

25y+114=4

Subtract 114 both sides

25y = - 110

Y=-4.4

Now you have y so take either equation and substitute the y

X-4 (1.4) = 19

X+17.6=19

X=1.4

Y=-4.4

The answer is x = 1.4 y=-4.4