Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
where x = " the number "
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, <em>Option A</em>.
x + 3 = 3(y + 2)/2 [Multiplied both sides by 3] so x + 3 = (3y + 6)/2 2(x + 3) = 3y + 6 [Multiplied both sides by 2] 2x + 6 = 3y + 6 2x = 3y [Subtracted 6 from both sides] x = 3y/2 [Divided both sides by 2] x/3 = y/2 [Divided both sides by 3]