You can put this solution on YOUR website! Solve the following simultaneous equation
32x^2+15y^2 = 2112
7x^2 - 3y^2 = 60
:
Multiply the 2nd equation by 5 and add to the 1st equation
Solve the following simultaneous equation
32x^2 + 15y^2 = 2112
35x^2 - 15y^2 = 300
----------------------adding eliminates y
67x^2 = 2412
divide both sides by67
x^2 = 36
x = +/-
x = +/-6
:
Find y using the 2nd original equation:
7(36) - 3y^2 = 60
252 - 3y^2 = 60
-3y^2 = 60 - 252
-3y^2 = -192
3y^2 = +192
y^2 =
y^2 = 64
y = +/-8
;
:
Check solutions in 1st original equation
:
32(6^2) + 15(8^2) =
32(36) + 15(64) =
1152 + 960 = 2112
