Q30. - Algebra 2

Question

Write each equation in standard form. Identify A, B and C.

$30.x=7y+2$

Step-by-Step Solution

Answer

The standard form of the given equation is  $x-7y=2$and the value of A, B and C are $1,-7\text{ and 2}$ respectively.

Step 1- Given information

A linear equation $x=7y+2$.

Step 2- Concept used

The Standard form of a linear equation is:

$Ax+By=C$   where, A, B and C are integers whose greatest common factor is 1.

Step 3- To find the standard form and value of A, B and C

From given information,

$x=7y+2$

The standard form of the given equation is:

$x-7y=2$

Now compare this equation by the equation $Ax+By=C$.

So, $A=1,B=-7\text{ and }C=2$

Hence, the standard form of the given equation is $x-7y=2$and the value of A, B and C are $1,-7\text{ and 2}$ respectively.