Q3. - Algebra 2

Question

Write $\mathbf{y}=-\mathbf{6}\mathbf{x}+\mathbf{4}$ in standard form.

Step-by-Step Solution

Answer

The given linear equation written in standard form is $6x+y=4$.

Step 1 – State the concept

Any linear equation can be written in the standard form as $Ax+By=C$, where A, B and C are integers whose greatest common factor is $1$, $A\ge 0$ and, A and B are not both zero.

Step 2 – List the given data

The linear equation $y=-6x+4$.

Step 3 – Write in standard form

$y=-6x+4$  (Given equation)

 

$y+6x=-6x+4+6x$  (Add $6x$ to both sides)

 

$6x+y=4$  (Simplify and rearrange)

 

Comparing with the standard form $Ax+By=C$, $A=6\left(\ge 0\right)$, $B=1$ and $C=4$.

 

Clearly, A, B and C are integers whose greatest common factor is 1 because $B=1$ and, A and B are both non-zero.

 

So, $6x+y=4$ is the standard form of the given linear equation.