Question

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

43. y=12x

44. -4y=3x-24

45. 4x=8y-12

46. Word problem: The distance the Green family traveled during their family vacation is given by the equation y=65x, where x represents the number of hours spent driving. How far does the Green family travel in 8 hours?

Answer 1

Answer: The answers are in the steps.

Explanation:

A standard form equation says that Ax + By=C

SO we have to set all the equations to be like that.

43. y = 12x Subtract 12x from both sides.

-12x + 1y = 0 In this case -12 is A, 1 is B , and 0 is C.

44 . -4y =3x -24 subtract 3x from both sides

-3x - 4y = -24 A is -3 , B is -4, and C is -24

45. 4x = 8y - 12 Subtract 8y from both sides.

-8y -8y

4x - 8y = -12 A is 4, B is -8 and C is -12

46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.

y = 65(8)

y= 520

They traveled 520 miles in 8 hours .