Respuesta :
Answer:
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
[tex]6x-y=12[/tex]
Step-by-step explanation:
Standard form of Linear equation is
[tex]Ax+By=c[/tex]
Equation written by Katrina:
[tex]4x-\frac{2}{3}y=8[/tex]
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.
[tex]\frac{4x(3)}{3}-\frac{2}{3}y=8[/tex]
[tex]\frac{12x}{3}-\frac{2}{3}y=8[/tex]
Adding fractions.
[tex]\frac{12x-2y}{3}=8[/tex]
Multiplying both sides by [tex]3[/tex]
[tex]3\times\frac{12x-2y}{3}=8\times 3[/tex]
[tex]12x-2y=24[/tex]
Dividing both sides by [tex]2[/tex]
[tex]\frac{12x-2y}{2}=\frac{24}{2}[/tex]
[tex]\frac{12x}{2}-\frac{2y}{2}=12[/tex]
[tex]6x-y=12[/tex]
∴ The standard form of the linear equation is
[tex]6x-y=12[/tex]
