exam Maths Puzzle Numerical Ability

Directions: find a common solution for each system of equations. The equations are y=x+1 and y=3x-2. My answer for the equations was (1.5,2.5). Am I correct. If not show how you got the answer. Thanx.

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this is trig identities, if you could please help me prove the following identity true

sin2x / 1-cos2x = 2csc2x-tan


i hope this reads clearly

the left side of the equation is sin2x over 1-cos2x
5x-y+z=-3
2x+2y-3z=-23
x-3y+2z=14

thanks