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Chapter 4: Q17. (page 244)

Write each equation in standard form.

y鈭�5=鈭�2x鈭�3

Short Answer

Expert verified

The equation in standard form isy+2x=11.

Step by step solution

01

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

A 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 m is the slope and bis the y-intercept.

02

Step 2. Simplify the equation. 

In order to simplify y鈭�5=鈭�2x鈭�3, apply the distributive property on the right side.

y鈭�5=鈭�2x鈭�3y鈭�5=鈭�2x鈭�鈭�2脳3y鈭�5=鈭�2x+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.

y鈭�5=鈭�2x+6y鈭�5+5=鈭�2x+6+5Add5toeachsidey+2x=鈭�2x+11+2xAdd2xtoeachsidey+2x=11

Thus, the equation in standard form is y+2x=11.

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