Solve the simultaneous equations y - 3x + 2 = 0, y^2 - x = 6x^2

Anonymous
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Step 1: Isolate either x or y from the linear equation(or low power equation):
EXAMPLE: x + y = 2
x= 2 - y or y = 2 - x
Step 2: Substitute x or y values into the second equation and simplify
EXAMPLE: x^2 + y^2 = 12
(2 - y)^2 + y^2 = 12
4 - 4y + y^2 = 12
y^2 - 4y - 8 = 0
Step 3: Solve the quadratic equation by using the formula or any other method.
EXAMPLE: y^2 - 4y - 8 = 0
(x – 4)(x + 2) = 0
x = 4, x = –2
Step 4: Substitute these values of x into the second equation to find y