Write each equation in standard form
2x = -5y + 11
4x - 7y + 15 = 0
2x + 10 = 3y - 1
Can anyone show me how to do these problems step by step?
Alright, to put it in standard form, you make it look like this:
Ax + By = C
Where A, B, and C are real numbers.
Let's look at the first one:
2x = -5y + 11
To put this in standard form all we do is add 5y to both sides:
2x + 5y = -5y + 11 + 5y
2x + 5y = 11
Ax + By = C
So it checks out.
Let's look at the second one:
4x - 7y + 15 = 0
To put this in standard form all we do is subtract 15 from both sides:
4x - 7y + 15 - 15 = 0 - 15
4x - 7y = -15
Which is the same as
4x + (-7)y = -15
Ax + By = C
So it checks out as well.
Let's look at the third one:
2x + 10 = 3y -1
To put this in standard form, we need to take two steps, first is to bring the y to the same side as the x by subtracting 3y from both sides:
2x + 10 - 3y = 3y - 1 - 3y
2x + 10 - 3y = -1
The second step is getting the 10 out of the side with the x and the y, so we subtract 10 from both sides:
2x + 10 - 3y - 10 = -1 - 10
2x - 3y = -11
Ax + By = C
So it checks out as well
2x + (-3)y = -11 is the same as 2x - 3y = -11 if you wanted to show that it still matches the standard form.
I hope this helps.