Question

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?

Answer 1

b

Explanation:

Answer 2

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

`6x-y=12`

Explanation:

Standard form of Linear equation is

`Ax+By=c`

Equation written by Katrina:

`4x-(2)/(3)y=8`

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.

`(4x(3))/(3)-(2)/(3)y=8`

`(12x)/(3)-(2)/(3)y=8`

Adding fractions.

`(12x-2y)/(3)=8`

Multiplying both sides by
`3`

`3*(12x-2y)/(3)=8* 3`

`12x-2y=24`

Dividing both sides by
`2`

`(12x-2y)/(2)=(24)/(2)`

`(12x)/(2)-(2y)/(2)=12`

`6x-y=12`

∴ The standard form of the linear equation is

`6x-y=12`