Q29. - Algebra 2

Question

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

$29.x=4y-5$

Step-by-Step Solution

Answer

The standard form of the given equation is $x-4y=-5$ and the value of A, B and C are $1,-4\text{ and -5}$ respectively.

Step 1- Given information

A linear equation $x=4y-5$.

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,

$x=4y-5$

The standard form of the given equation is:

$x-4y=-5$

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

So, $A=1,B=-4 and C=-5$

Hence, the standard form of the given equation is $x-4y=-5$ $x-4y=-5$ and the value of A, B and C are $1,-4\text{ and -5}$respectively.