X+y=4
4x+y=1
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Y=3, x=1? Hope this helps

x+y=4;4x+y=1
Steps:Multiply the second equation by -1, then add the equations together.
(x+y=4)−1(4x+y=1)
Becomes:x+y=4−4x−y=−1
Add these equations to eliminate
y:−3x=3
Then solve
−3x=3for x:−3x−3=3−3
(Divide both sides by -3)x=−1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:x+y=4
Substitute−1forx in x+y=4:−1+y=4y−1=4
(Simplify both sides of the equation)y−1+1=4+1
(Add 1 to both sides)y=5
x=−1 and y=5