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Math class review 2022 April 24 - Coggle Diagram
Math class review 2022 April 24
Review for last class
Linear one with two variables
When solving linear one with two variables for example: 3X+4Y=6 you can do it in to ways, one way is moving 3X over to the right and doing the equation around 4Y or the opposite by moving 4Y to the right and if in the first way it will become 4Y=6-3X or 4Y=-3X+6 both are ok. When you move something over it can be before or after the number on the side he's moving to. And then you divide both sides with 4 which become Y=4/3X+6 or the other, the same goes with the other moving Y.
when you are solving a equation like -X-6Y=-5 and you are moving Y it turns into: -X=-5+6Y and in this way you can divide the number to the negative sign and it turns into: X=5-6Y
This class information
Linear equation in two variable
In this slide we have the question If y=2 and X=1 then whats the solution of 5x - ay = 11, find the value of a. And we did it by: -20=1
-20=11-5
20=5-11
and in this we learned that if -20=11-5 it can turn into 20=5-11 by dividing both side by the minus sign.
And the other question is the same.
In this image we need to find a negative solution for the equation 2X+Y=-7, and we put 2X onto the right because it needs to times 2. And equation where one number does not do anything and the other needs to times a number or divide a number, we put the number which needs to divide a number or times a number on the right. And so we start with the biggest negative number to put on X. ( If the number we put on the right is a number which needs to times or divide a number we also first try the number like trying it as -1) and the answer we get is y-5 and we continue and pretend X is -2 then Y=-3 and if X is -3 then Y=-1 but then we cannot do anything any more because we already got to the biggest negative number:-1
This is te same to the picture below I explained but in positive number. But here we have a trick to understand is to think the unknown number is bigger than 0 but smaller than the number the number is getting minus on.
There are infinite solutions for a one linear to two variable. But getting a positive integer solution it must be positive and a whole number. A negative integer solution needs to be negative and whole though.AND THERE ARE NO INFINITE POSITVE/NEGATIVE INTEGER SOLUTIONS.
This is review from last lesson also a thing to remind is that when putting a number to the right side can be before or after a number.
Summary
Linear equation has infinite solutions but it depends on what other expectation it said. And when doing a solution There are different ways to move around numbers including to the left and right of the equation by changing signs, and dividing a number to all to turn 4X to x. and much more
Others
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