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3+3+4+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 1 and 2 to get 3.
6+4+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 3 and 3 to get 6.
10+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 6 and 4 to get 10.
15+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 10 and 5 to get 15.
21+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 15 and 6 to get 21.
28+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 21 and 7 to get 28.
36+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 28 and 8 to get 36.
45+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 36 and 9 to get 45.
45+3x+3x+4x+5x+6y+7y+8y+9y=100
Combine 1x and 2x to get 3x.
45+6x+4x+5x+6y+7y+8y+9y=100
Combine 3x and 3x to get 6x.
45+10x+5x+6y+7y+8y+9y=100
Combine 6x and 4x to get 10x.
45+15x+6y+7y+8y+9y=100
Combine 10x and 5x to get 15x.
45+15x+13y+8y+9y=100
Combine 6y and 7y to get 13y.
45+15x+21y+9y=100
Combine 13y and 8y to get 21y.
45+15x+30y=100
Combine 21y and 9y to get 30y.
15x+30y=100-45
Subtract 45 from both sides.
15x+30y=55
Subtract 45 from 100 to get 55.
15x=55-30y
Subtract 30y from both sides.
\frac{15x}{15}=\frac{55-30y}{15}
Divide both sides by 15.
x=\frac{55-30y}{15}
Dividing by 15 undoes the multiplication by 15.
x=\frac{11}{3}-2y
Divide 55-30y by 15.
3+3+4+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 1 and 2 to get 3.
6+4+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 3 and 3 to get 6.
10+5+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 6 and 4 to get 10.
15+6+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 10 and 5 to get 15.
21+7+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 15 and 6 to get 21.
28+8+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 21 and 7 to get 28.
36+9+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 28 and 8 to get 36.
45+1x+2x+3x+4x+5x+6y+7y+8y+9y=100
Add 36 and 9 to get 45.
45+3x+3x+4x+5x+6y+7y+8y+9y=100
Combine 1x and 2x to get 3x.
45+6x+4x+5x+6y+7y+8y+9y=100
Combine 3x and 3x to get 6x.
45+10x+5x+6y+7y+8y+9y=100
Combine 6x and 4x to get 10x.
45+15x+6y+7y+8y+9y=100
Combine 10x and 5x to get 15x.
45+15x+13y+8y+9y=100
Combine 6y and 7y to get 13y.
45+15x+21y+9y=100
Combine 13y and 8y to get 21y.
45+15x+30y=100
Combine 21y and 9y to get 30y.
15x+30y=100-45
Subtract 45 from both sides.
15x+30y=55
Subtract 45 from 100 to get 55.
30y=55-15x
Subtract 15x from both sides.
\frac{30y}{30}=\frac{55-15x}{30}
Divide both sides by 30.
y=\frac{55-15x}{30}
Dividing by 30 undoes the multiplication by 30.
y=-\frac{x}{2}+\frac{11}{6}
Divide 55-15x by 30.