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3x+2y=12 (1) /// 5x+3y=19 (2) /// . (1) x 3---(2) x -2 /// 9x+6y=36///-10x-6y=-38///x+0=-2/// x=2///y=5(2)+3y=19///y=9/3 = 3-///////--> x=2y=3first, we need to make one of the two terms (x or y) of the...

to first think about solving this equation you need to add 1 to both sides producing the equation x^2-2x+1=0 you then need to factorise this equation as it is a quadratic equation (x-1)(x-1) =0 for this t...

To integrate this simple equation add one to the power then divide by the new power for example. 2x^2 becomes 2/3x^3 4x becomes 2x^2 and 1 becomes x plus constant c so the overall integrated equation is 2...

Expand RHS: t² - t = 21+ 3tCollect all terms on one side: t² - 4t - 21 = 0Factorise and solve by inspection / use the quadratic formula to solve for t: (t + 3)(t - 7) = 0 / t = [ -(-...

First notice that this is an equation that will require implicit differentiation since C cannot be explicitly written in terms of either x or y. Thus we must differentiate each term with respect to x:-the...