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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

Sagot :

[tex]3x-7y=22[/tex]

we solve for y doing operations on both sides

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

[tex]\begin{gathered} 3x-3x-7y=22-3x \\ -7y=22-3x \end{gathered}[/tex]

then we divide between -7 to solve y

[tex]\begin{gathered} \frac{-7y}{-7}=\frac{22-3x}{-7} \\ \\ y=\frac{-22+3x}{7} \\ \end{gathered}[/tex]

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

[tex]y=\frac{3}{7}x-\frac{22}{7}[/tex]

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