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91Ó°ÊÓ

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.

In the linear equation4x+3y=12,the constant term is 12.

Short Answer

Expert verified

False.The constant term is -12.

Step by step solution

01

Step 1. State the equation of a straight line.

The general form of a straight line is given by, Ax+By+C=0, where, A and B are the coefficients of x and y respectively, C is the constant term.

02

Step 2. Find the general form of the given equation.

Compare the given equation with the general form of the equation of a straight line.

Simplify,

4x+3y=124x+3y−12=12−124x+3y−12=0

03

Step 3. Conclusion.

It is false because the general form of a linear equation is always in the form of Ax+By+C=0, where C is the constant term. Here,-12 is the constant term.

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