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2. Write the linear equation y = -2x - 1 into Ax + By = C.
Solution:
y = -2x - 1
y + (__) = -2x + (__) - 1
2c + y = -1.


Sagot :

Linear Equations in Two Variables

[tex]__________________________[/tex]

Our goal here is to write the given equation in standard form, to do that we have to transpose some terms to write it into ax + by = c.

[tex]\sf y = - 2x - 1[/tex]

Step 1: Transpose 2x.

[tex]\sf y + \blue{ 2x}= \cancel{ - 2x + \blue{ 2x }}- 1[/tex]

[tex]\sf y + 2x= - 1[/tex]

Step 2: Rearrange the terms.

[tex]\sf 2x + y= - 1[/tex]

∴ The rewritten equation is 2x + y = -1