Jon recently drove to visit his parents who live 528 miles away. On his way there his average speed was 14 miles per hour faster than on his way home (he ran into some bad weather). If Jon spent a total of 22 hours driving, find the two rates.

speed while going = 42, while returning home = 28

Step-by-step explanation:

let his speed on the way to his parents house is (x)

then his speed while returning is x - 14

Time = Distance / speed

528 / x + 528 / x -14 = 22

multiplying the denominator ...

528x + 528x +7392 = 22x^2 +14x

1056x + 7392 = 22x^2 + 308x

0 = 22x^2 -748x -7392

"dividing by 22"

0 = x^2 -34x-336

0 = (x+8) (x-42)

x must be 42

finally jon's speed while back home is  42 - 14 = 28

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

thats one

step-by-step explanation: