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Chapter 3: Q64. (page 122)

Write each equation in standard form. Identify A, B, and C.

鈥�鈥�鈥�y=12x-3

Short Answer

Expert verified

The standard form of the equation is x-2y=6 and A=1,鈥�鈥�B=-2,鈥�鈥�C=6.

Step by step solution

01

Step-1 – Apply the concept of Standard form of equation 

Any linear equation with variables xand ycan be expressed in the standard form as:

Ax+By=C

Where A, B, and C are all integers with greatest common factor as 1.

02

Step-2 – Convert the equation into standard form

Consider the given equation.

y=12x-3

To convert it into standard form, subtract 12xon both sides of equation.

y鈭�12x=12x鈭�3鈭�12x鈭�12x+y=鈭�3

Now, multiply whole equation by 鈭�2.

鈭�2鈭�12x+y=鈭�2鈭�3x鈭�2y=6

Thus, the standard form of the equation is x-2y=6.

03

Step-3 – Identification of A, B, and C

Comparing x-2y=6with standard form Ax+By=C, we get

A=1B=鈭�2C=6

Hence, the standard form of the equation is x-2y=6 and A=1,鈥�鈥�B=-2,鈥�鈥�C=6.

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Most popular questions from this chapter

0.4x+0.6=0.5x-1.2

Solve each system of equations.

x+y+z=鈭�12x+4y+z=1x+2y鈭�3z=鈭�3

Explain why it is important to check a solution found by graphing in both of the original equations.

Solve each system of equations by graphing.

23x+y=鈭�3y鈭�13x=6

The graphs of y-2x=1,4x+y=7,and2y-x=-4 contain the sides of a triangle. Find the coordinates of the vertices of the triangle
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