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

Question

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

Answer 1

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.

 

Answer 2

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

Comments

good answer :)