Put 4x= -3y + 24 in standard form
To convert the equation 4x = -3y + 24 into standard form, we need to rearrange the terms so that the equation is written in the form Ax + By = C, where A, B, and C are integers and A is positive.
Starting with 4x = -3y + 24, let's isolate the x term:
4x + 3y = 24
Now, to make the coefficient of x positive, we can multiply the entire equation by -1:
-4x - 3y = -24
Thus, the equation 4x = -3y + 24 can be written in standard form as -4x - 3y = -24.
To put the equation 4x = -3y + 24 in standard form, the goal is to rearrange the equation so that it reads Ax + By = C, where A, B, and C are integers.
First, let's bring all the terms to one side of the equation:
4x + 3y = 24
Next, we want to get rid of any fractional coefficients. In this case, we do not have any fractions.
To ensure that the coefficients of x and y are positive integers, we can multiply the entire equation by -1:
-4x - 3y = -24
Now, the equation is in the form Ax + By = C, where A = -4, B = -3, and C = -24. Therefore, the standard form of the equation 4x = -3y + 24 is -4x - 3y = -24.
To put the equation 4x = -3y + 24 in standard form, we need to rearrange the equation so that it has the form Ax + By = C, where A, B, and C are constants.
Step 1: Move the term with x to the other side of the equation.
4x + 3y = 24
Step 2: Rearrange the equation so that the term with x comes before the term with y.
3y + 4x = 24
Now the equation 4x = -3y + 24 is in standard form.