# SOLUTION: Use elimination method to find all solutions of the systems of equations. 4x^2-y^2=75 x^2+5y^2=150

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 Click here to see ALL problems on Linear-systems Question 529564: Use elimination method to find all solutions of the systems of equations. 4x^2-y^2=75 x^2+5y^2=150Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!Use elimination method to find all solutions of the systems of equations. 4x^2 - y^2 = 75 x^2 + 5y^2 = 150 Multiply the 1st equation by 5, add to the 2nd equation 20x^2 - 5y^2 = 375 x^2 + 5y^2 = 150 --------------------adding eliminates y^2, find x 21x^2 = 525 x^2 = x^2 = 25 x = +/- x = +5 x = -5 : Find y x^2 + 5y^2 = 150 25 + 5y^2 = 150 5y^2 = 150 - 25 5y^2 = 125 y^2 = y^2 = 25 y = +/- y = +5 y = -5 : You can check all 4 solutions in the original equations