Solving One-Step Equations (Division) | Algebraic Equations | Math with Mr. J

welcome to math with Mr J [Music] in this video I'm going to cover how to solve One Step division equations now when we solve one step equations we want to isolate the variable which means get it by itself basically we want to undo whatever is being done to the variable that way the variable is by itself on one side of the equation we do this by using the inverse or opposite operation keep in mind it is very important that whatever is done to one side of the equation it must be done to the other that keeps everything balanced and equal let's jump into number one where we have x divided by 25 equals 6. now we need to isolate that variable of X we need to figure out what x equals since X is being divided by 25 we need to under do that division by using the inverse operation so the opposite operation the opposite of division is multiplication so let's multiply the left side of the equation by 25. now whatever we do to one side of the equation we must do to the other in order to keep it balanced and equal so let's multiply the right side by 25 as well now let's take a look at the left side of the equation we are dividing by 25 and multiplying by 25 so these 25s cancel out they equal 1. let's come to the side and quickly take a look at how the 25s cancel out and equal one we are multiplying x divided by 25 by 25 so we have 25 times x divided by 25. I wrote 25 in fractional form since the division problem was in fractional form that way we have numerators and denominators and we can multiply straight across we are just multiplying fractions here remember we can write any whole number in fractional form by putting it over one let's multiply we'll start with the numerators so the top numbers 25 times x that equals 25 X now we can multiply the denominators so the bottom numbers 1 times 25 that equals 25. so we have 25x over 25 these 25s cancel out they equal one we have 25 divided by 25 that gives us that one so we have one X which is just X so the variable is now isolated it's by itself so we have X on the left side equals and then on the right side 6 times 25 that equals 150. x equals 150 that's our solution now we can always check a solution by plugging it into the original equation so let's plug 150 in 4X and see if this works 150 divided by 25 equals 6. 150 divided by 25 does equal 6 so that's the correct solution x equals 150. let's move on to number two where we have 8 equals V divided by 8. now we need to isolate that variable of v v is being divided by eight so we need to undo that division by using the inverse operation the inverse of division is multiplication so let's multiply the right side of the equation by 8. now whatever we do to one side of the equation we must do to the other so we need to multiply the left side of the equation by 8 as well now let's take a look at the right side of the equation we are dividing by eight and multiplying by eight so these eights cancel out they equal one that gives us one V which is just V so the variable is now isolated V equals and then on the left side of the equation 8 times 8 that equals 64. so V equals 64. and we can rewrite this with the variable coming first let's check that Solution by plugging 64 in for V in the original equation so we have 8 equals 64 divided by 8. 64 divided by 8 does equal 8 so that's the correct solution V equals 64. so there you have it there's how you solve One Step division equations I hope that helped thanks so much for watching until next time peace