Multiply one equation to eliminate a variable

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2x+5y=11
4x+3y=1

2x+5y=11
4x+3y=1

Let's make the x cancel out since you'll only need to multiply one equation.

First, multiply this entire equation by -2
-2(2x)+-2(5y)=-2(11)
-4x - 10y = -22

Now compare the equations again and add them together (You don't need to rewrite it like this, just to show the work though)
-4x - 10y = -22
4x + 3y =1
(-4x + 4x) - 7y = -21

Now solve for y

-7y/-7 = -21/-7
y = 3

Now sub in what we got for y into one of the first equations to solve for x
4x+3y=1
4x+3(3)=1
4x + 9 = 1
-9 -9
4x/4 = -8/4
x = -2