Solve for x
x=y
y\neq 0
Solve for y
y=x
x\neq 0
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y\left(2.8+x\right)=x\left(2.8+y\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by xy, the least common multiple of x,y.
2.8y+yx=x\left(2.8+y\right)
Use the distributive property to multiply y by 2.8+x.
2.8y+yx=2.8x+xy
Use the distributive property to multiply x by 2.8+y.
2.8y+yx-2.8x=xy
Subtract 2.8x from both sides.
2.8y+yx-2.8x-xy=0
Subtract xy from both sides.
2.8y-2.8x=0
Combine yx and -xy to get 0.
-2.8x=-2.8y
Subtract 2.8y from both sides. Anything subtracted from zero gives its negation.
x=y
Cancel out -2.8 on both sides.
x=y\text{, }x\neq 0
Variable x cannot be equal to 0.
y\left(2.8+x\right)=x\left(2.8+y\right)
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by xy, the least common multiple of x,y.
2.8y+yx=x\left(2.8+y\right)
Use the distributive property to multiply y by 2.8+x.
2.8y+yx=2.8x+xy
Use the distributive property to multiply x by 2.8+y.
2.8y+yx-xy=2.8x
Subtract xy from both sides.
2.8y=2.8x
Combine yx and -xy to get 0.
y=x
Cancel out 2.8 on both sides.
y=x\text{, }y\neq 0
Variable y cannot be equal to 0.
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