First, get everything that is like together. The -5 and the 3 are like and together they make -2. The -12x and the -5x and like and together they make -17x. The final answer is -17x-2
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After collecting like terms, (3 - 5x - 5 - 12x) reduces to (-2 - 17x).
12x^3+17x^2+5x=0x(12x^2+17x+5)=0x(x+1)(12x+5)=0x=0x=-1x=-5/12
3x-8+5x+39+4x+51 = x(3+5+4) + -8 + 39 + 51 = 12x +82
4x2 - 12x + 9 = 5; whence, 2x - 3 = ±√5, and 2x = 3 ±√5. Therefore, x = ½ (3 ±√5).
Simply take the first equation and substitute it for y in the second one. We're told: y = -3x + 5 and: 5x - 4y = -3 So we can say: 5x - 4(-3x + 5) = -3 5x + 12x - 20 = -3 17x = 17 x = 1 Then plug that value into one of our original equations to solve for y: y = -3x + 5 y = -3(1) + 5 y = 5 - 3 y = 2 So the two equations intersect at the point (1, 2).