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Let:x = number of boysy = number of girlstherefore 2(x+5) = (y+8)2x + 10 = y - 8y = 2x + 2

When using Pythagoras' theorem, the hypotenuse squared should equal the square of the other two sides added together, so (a²=b²+c²). We also know that for Pythagoras' theo...

Using the equation y = ax² + bx + cCreate 3 separate equations:-a(3)² + b(3) + 18 = 0 -a(-3)² + b(-3) + 18 = 0
-9a+3b = -18-9a - 3b = -18
add the equations:-9a-9...

Method 1 for solving these equations would be to multiply equation 2 (3x + 2y = 12) by 4 so that the x coefficients are equal, this becomes (12y+8x=48). Then subtract equation 1 from equation 2: (12x+8y=4...

abc = 2 x -5 x 0.5= -10 x 0.5= -20 / 2= -10
2d+10c= 2(-20) + 10(0.5)= - 40 + 5= -35