Question

when we study linear equations in two variables, it would be necessary to change equations from the form Ax + by=C to y= mx + b. Express the equation in the form y = mx + b by solving for y. Express numbers in exact simplified form.3x-7y=22

Answer 1

$3x-7y=22$

we solve for y doing operations on both sides

we remove 3x of left side subtractinc 3x on both sides

$\begin{gathered} 3x-3x-7y=22-3x \\ -7y=22-3x \end{gathered}$

then we divide between -7 to solve y

$\begin{gathered} \frac{-7y}{-7}=\frac{22-3x}{-7} \\ \\ y=\frac{-22+3x}{7} \\ \end{gathered}$

we can rewrite the equation to obtain the form y=mx+b

$y=\frac{3}{7}x-\frac{22}{7}$