You can put this solution on YOUR website! 2Y = 3X - X^2
X + 2Y = -12
Let's rearrange it like this
------>x + 2y = -12
x^2 - 3x + 2y = 0
--------------------subtraction eliminates y, and we have
-x^2 + 4x = -12
Multiply by -1,
x^2 - 4x = 12
x^2 - 4x - 12 = 0; a quadratic equation
Factors to:
(x-6)(x+2) = 0
Two solutions
x = 6
x = -2
:
Use the 1st original equation to find y, using x=6
2Y = 3X - X^2
2Y = 3(6) - 6^2
2y = 18 - 36
2y = -18
y =
y = -9
:
1st solution: x=6; y=-9
:
Check this in the original 2nd equation
X + 2Y = -12
6 + 2(-9) = -12; confirms this solution
:
:
What about x = -2
Use the 1st original equation to find y, using x=-2
2Y = 3X - X^2
2Y = 3(-2) - (-2^2)
2y = -6 - 4
2y = -10
y =
y = -5
:
2nd solution x =-2; y = -5
:
Check this in the original 2nd equation
X + 2Y = -12
-2 + 2(-5) = -12; confirms this solution also
:
:
Did this provide a clue or two for you, did it make sense?
