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Chapter 2: Q3. (page 74)

Write y=-6x+4 in standard form.

Short Answer

Expert verified

The given linear equation written in standard form is 6x+y=4.

Step by step solution

01

– State the concept

Any linear equation can be written in the standard form as Ax+By=C, where A, B and C are integers whose greatest common factor is 1, A鈮�0 and, Aand B are not both zero.

02

– List the given data

The linear equation y=-6x+4.

03

– Write in standard form

y=-6x+4 (Given equation)

y+6x=-6x+4+6x (Add 6xto both sides)

6x+y=4 (Simplify and rearrange)

Comparing with the standard form Ax+By=C, A=6鈮�0, B=1and C=4.

Clearly, A, B and C are integers whose greatest common factor is 1 because B=1 and, A and B are both non-zero.

So, 6x+y=4is the standard form of the given linear equation.

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