PLEASE I NEED HELP 20 POINTS Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

y=5x+3

y=5.5x+2

Step-by-step explanation:

may also be written as  

5x+3 = 5.5x+2

subtract 2 from both sides

5x+3-2 = 5.5x+2-2

subtract 5x from both sides

5x-5x+3-2 = 5.5x+2-2-5x

3-2 = 5.5x-5x

1=0.5x

x = 2

y=5×2+3 = 13

5.5×2+2= 13

y = 13

When trying to solve for variables in a situation with two variables you can isolate one variable in one equation and replace it in the other equation.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.