The required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Now the given simultaneous equations are,
y = x^2 ...(i)
y = x + 6 .....(ii)
Equating (i) and (ii) we get,
x^2 = x + 6
or, x^2 - x - 6 = 0
Solving we get,
x^2 - 3x - 2x - 6 = 0
⇒ x(x - 3) -2(x - 3) = 0
⇒ (x - 2)(x - 3) = 0
So, x = 2, 3
Putting x = 2, 3 in equation (i) we get,
y = 2^2
⇒ y = 4
and,
y = 3^2
⇒ y = 9
Thus, y = 3,9
Thus the required solution of the given simultaneous equations are x = 2, 3 and y = 3,9.
To learn more about simultaneous equations :
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