SOLUTION: Please solve the simultaneous equations y^2+xy=2 x+y/2=3/2 Thank you

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Question 365539: Please solve the simultaneous equations
y^2+xy=2
x+y/2=3/2


Thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

solve

y^2+xy=2 

x+y/2=3/2   y = -2x + 3

substitute y into frrst eqation

(-2x + 3)^2   + x(-2x + 3) = 2

4x^2 - 12x + 9 -2x^2 + 3x = 2

2x^2 - 9x + 7 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%289+%2B-+sqrt%28+25%29%29%2F%284%29+

x+=+%289+%2B-5%29%2F4

x = 1 Or

x = 14/4 = 7/2 = 3.5