Melvin plays tennis and swims for a total of 110 minutes every day. he plays tennis 40 minutes more than he swims.
part a: write a pair of linear equations to show the relationship between the number of minutes melvin plays tennis (x) and the number of minutes he swims (y) every day. (5 points)
part b: how much time does melvin spend swimming every day? (3 points)
part c: is it possible for melvin to have spent 70 minutes playing tennis every day? explain your reasoning. (2 points)

part a) and

part b) melvin spend swimming every day

part c) it is not possible that melvin spent 70 minutes playing tennis every day, because the time it takes to play tennis every day is 75 minutes.

step-by-step explanation:

part a) write a pair of linear equations

let

> the number of minutes melvin plays tennis every day

> the number of minutes melvin swims every day

we know that

> equation a

> equation b

part b) how much time does melvin spend swimming every day?

substitute the equation b in the equation a and solve for y

part c) is it possible for melvin to have spent 70 minutes playing tennis every day?

find the value of x

with the value of y substitute in the equation b

therefore

it is not possible that melvin spent 70 minutes playing tennis every day, because the time it takes to play tennis every day is 75 minutes.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0