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The elimination method
2x + 3y = 83x + 2y = 7
First we multiply one or both of the equations so that one of their like terms share the same coefficients.
2x + 3y = 8 (multi...

This is a common example of an integral that is a product of two functions whose derivatives are related. As we know the derivative of sinx is cosx, we can use substitution to easily solve this - let our ...

9^3x+1 =(3² )^(3x+1) =3^6x+2

Firstly, expand the left hand side of the equation out to produce: [7x-35=25-3x]. Bring all the x's to one side (to form 10x=60). Divide both sides by 10 to find the solution for x [x=60/10]. Therefore, x...

a+a+4 = -p/5a+2 = -p/10(a+2)sqaured = q/5 +4p sqaured/100 = q/5 +4p sqaured = 100(q/5 +4)implies p squared = 20q+400