You can do anything you want to one side of an equation.
You'll usually apply an inverse operation to make the side
simpler, for example to get rid of the 'x', or to get rid of the
fractions on that side.
But when you do something to one side of the equation,
you MUST do exactly the same thing to the other side too.
If you don't, then you have changed the equation to a
different one, and the solution to the one you have now
is not the solution to the original one.
Very simple example:
Solve the equation 2x = 2
Correct solution:
Divide each side by 2 : x = 1
Incorrect solution:
Divide the left side by 2 : x = 2
Answer:
53
Step-by-step explanation:
Given: The sum of two digit number is 8
Reversing the digit will get us number 18 less than the original.
Lets take x as tenth digit of our number and y as unit digit of our number.
As given sum of digit is 8
∴ 
∴ 
- equation 1
We also know that reversing the digit will get us number 18 less than the original.
∴ 
Now, lets put the value of y from equation 1
⇒ 
⇒ 
⇒ 
∴ 
Next, substituting the value of x in equation 1
⇒ 
∴ 
∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.
15x would be the vertical angle of 16x -8 and since vertical angles are equal, then 15x = 16x -8.
15x = 16x -8
x = 8 and so the angle 15x = 15 * 8
which equals 120 degrees.
Hey i hope my answer is helpful i did in my head so im sorry if its wrong−13 13/35
9514 1404 393
Answer:
a = 3, b = -8
Step-by-step explanation:
Solving the first equation for y, we get ...
2y +16 = 6x . . . . . given
y = 8 +3x . . . . . . . divide by 2
y = 3x -8 . . . . . . . subtract 8
In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:
y = ax +b
a = 3, b = -8
