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x+2y = 30 => x= 30-2y

x2+y2 =900

(30-2y)2+y2 = 900

(30-2y)(30-2y)+y2 = 900

900-60y-60y+4y2+y2 = 900

5y2-120y = 0

y(5y-120) = 0

y = 0 or y= 24

Substitute the value of y into the original equations to find the value of x:

Therefore: x = -18 and y = 24

Check: -18+48 = 30 and (-18)2+242 = 900

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Q: Solve this using substitution x plus 2y equals 30 x2 plus y2 equals 900?
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