Respuesta :

148 + 2x = 193 - 1x
2x + 1x = 193 - 148
3x = 45
(Divide)
[tex] \frac{3x}{3} [/tex] = [tex] \frac{45}{3} [/tex]
x = 15

It will take 15 weeks until Jon and Matt weigh the same.

Answer:

In 15 weeks, Jon and Matt would have same weight.

Step-by-step explanation:

We are given the following information in the question:

Let x be the weeks after Jon and Matt have same weight.

Jon's weight =  148 lb

He gains 2 lb every week.

Then weight of Jon in x weeks would be given by the equation:

[tex]148 + 2x[/tex]

Matt's weight =  193 lb

He looses 1 lb every week.

Then weight of Matt in x weeks would be given by the equation:

[tex]193 - x[/tex]

Then, according to the question:

[tex]148 + 2x = 193 - x\\ 3x = 45\\x = 15[/tex]

Thus, in 15 weeks, Jon and Matt would have same weight.