Katarina wrote the standard form of a linear equation as 4x – 4 x minus startfraction 2 over 3 endfraction y equals 8.y = 8. sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. what advice did sofiya give to katarina?
Advice that Sofiya would have given is:
1) Take least common denominator and add fraction on the left side in order to combine terms.
2) Multiply least common denominator i.e 3 to both sides in order to remove the denominator.
3) Divide both sides by 2 in order to simplify the numbers.
The standard form of the linear equation is
Standard form of Linear equation is
Equation written by Katrina:
In order to convert Katrina's linear equation into standard form Sofia must have given the following advice:
Take least common denominator in order to add fractions on the left side. The common denominator here would be 3 as 3 is the only denominator.
Multiplying both sides by
Dividing both sides by
∴ The standard form of the linear equation is
The standard form is the simplest form of ax + by = c.
So its option B:- 6x - y = 12
The standard form of a linear equation in general is given by:
Now we are given the equation :
In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.
Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.
So multiplying both sides by 3 , we have
So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.
4a. is 3 miles every hour
4b. is 1/3 of an hour per mile