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Chapter 4: Q18. (page 244)

Write each equation in standard form.

y+4=23x鈭�3

Short Answer

Expert verified

The equation in standard form is2x鈭�3y=18.

Step by step solution

01

Step 1. State the concept of the standard form of an equation.

The standard form of a linear equation isAx+By=C where A鈮�0, A and B are not both zero, and A,Band Care integers with a greatest common factor of 1.

The slope-intercept form of a linear equation is y=mx+b, where mis the slope and bis the y-intercept.

02

Step 2. Simplify the equation. 

In order to simplify y+4=23x鈭�3, first multiply both sides by 3 and then apply the distributive property.

3脳y+4=3脳23x鈭�33脳y+4=2脳x鈭�33y+12=2x鈭�6

03

Step 3. Write the equation in standard form.

Further, simplify the equation so as to rewrite the equation in the needed form of Ax+By=C.

3y+12=2x鈭�63y+12鈭�12=2x鈭�6鈭�12Subtract12fromeachside3y鈭�2x=2x鈭�18鈭�2xSubtract2xfromeachside鈭�1脳3y鈭�2x=鈭�1脳鈭�18Multiplybothsidesby-12x鈭�3y=18

Thus, the equation in standard form is 2x鈭�3y=18.

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Most popular questions from this chapter

Graph each equation.

鈭�4x+y=2

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