The force applied is equal to the weight added in each trial plus the force exerted by the earth's magnetic field. to cancel out the effect of the earth's field, we need to compute the geometric mean of the forward and reverse currents: the geometric mean is the square root of the product of the two currents. by using this current, the only force in consideration is the weight force. at balance, this force is equal to the force the two wires exert on one another. compute the geometric means for each of your three trials.

Ya i could just need to know what type of math

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!

All i know is thay part a is 48