a-k=w-v solve for a

Question

math for 9th grade algerbra 1-2 please i really need help

Answer 1

a-k = w-v

Add k to each side to isolate a

a-k+k = w-v+k

a = w-v+k

a,k,w, and v are all variables. They each represent a number, or several numbers. We do not know their identity, and it is not possible from this problem to determine their values. Nevertheless, we can still work with them the same as if we knew what values they represented.

In Algebra, an equality means that both sides are equal. Like a weight lifter's barbel, it is balanced only if each side is equal. Like a barbel, we can add or subtract weight (or in Algebra, a variable) to each side, and it remains in balance as long as we do the same thing to both sides. In this case, we can add a 'k' to each side. On the left, reading from left to right, we subtract a k and then add it back in, so these cancel out. In the weightlifting example, we could think of a -k as a helium filled balloon, which will float upward with no weight attached. If we attach a weight that weighs more than 'k', the balloon and the weight will fall to the ground. If we attach a weight which weighs 'k' to the '-k' balloon, it neither floats upward nor falls. If we attach both the weight and the balloon to one side of the barbel, or in this case if we remove them, the barbell is still balanced.

I hope the barbell example was helpful.