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Tell whether each equation is linear. If so, write the equation in standard form and give the values of A,B,C?

0 votes
Tell whether each equation is linear. If so, write the equation in standard form and give the values of A, B, and C.
30. 2x-8y=16
31. y=4x+2
32. 2x=y -4
33. 4 =y 3x
34. x+4 = y-4
35. x=7 23
38. y=-x+2
39. 5x=2y-3
asked Jan 26, 2013 in ALGEBRA 1 by anonymous Apprentice

2 Answers

+2 votes

The linear equation is in standard form is Ax + By = C, where A, B, and C are real numbers and A and B both are not zero. All linear equations can be written in standard form.

30. 2x-8y=16

The equation already in standard form.

Compare the equation with standard form Ax + By = Cand write the values.

A = 2, B = -1 and C = 16

 

31. y=4x+2

Subtract y from each side

0 = 4x - y + 2

Subtract 2 from each side

4x - y = -2

Compare the equation with standard form  Ax + By = C and write the values.

A = 4, B = -1 and C = -2.

 

32. 2x=y -4

Subtract y from each side

2x - y = -4

Compare the equation with standard form Ax + By = C and write the values.

A = 2, B = -1 and C = -4.

 

33. 4 =y - 3x

Multiply each side by negative one.

3x - y = -4

Compare the equation with standard form Ax + By = C and write the values.

A = 3, B = -1 and C = -4.

 

answered Jan 26, 2013 by steve Scholar
edited Jan 26, 2013 by steve
+2 votes

34. x+4 = y-4

Subtract y from each side

x + 4 - y = -4

Subtract 4 from each side

x - 4 = -8

Compare the equation with standard form Ax + By = C and write the values.

A = 1,  B = -4 and C = -8.

 

38. y=-x+2

Add x to each side

x + y = 2

Compare the equation with standard form Ax + By = C and write the values.

A = 1, B =1 and C =2.

 

39. 5x=2y-3

Subtract 2y from each side

5c - 2y = -3

Compare the equation with standard form Ax + By = C and write the values.

A = 5, B =-2 and C =-3

answered Jan 26, 2013 by steve Scholar
good answer :)

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