exam Maths Puzzle Numerical Ability

Explain how to solve equations involving absolute terms by solving following problem:

| x - � | = | � x - � |

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exam Other Question

does this equation describe an ellipse? 5y^2-18x+7=20y+3x^2-16

this is what I did

-3(x^2+6x+9) + 5(y^2-4y+4)=-23+20+(-27)

-3(x+3)^2/-30 + 5(y-2)^2/-30=-30/-30

(x+3)^2/-10 + (y-2)^2/-6=1 solve by substitution
1. 2x - y= -4
x+y = -5

2. 5x - 6y=21
x -2y=5