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By Pythagoras’s theorem, a²+b²= c². So x²= 9+16=25 and so by finding the square root of 25, x=5

Substituting y = x-3 into the first equation and expanding brackets:(x-3)²+x² = 6 <=> 2x² -6x +9 =6 <=> 2x² -6x +3 =0Solving by using the quadratic ...

3x + 5y = 19 and4x - 2y = -18Find the common multiple for 3x and 4x to enable it to be cancelled out. In this case it would be 124(3x + 5y) = 4(19) 3(4x - 2y) = 3(-18) 12x + 20y = 76 12x - 6y = -54 12x + ...

The product rule is a special rule that exists for differentiating products of two (or more) functions. It states: If y=uv, then dy/dx= u(dv/dx) + v(du...