Question

If 2x + 13 = 17, find the value of 3x+1

Answer 1

Explanation:

2x + 13 = 17

2x = 4

x = 2

3x + 1 = 3×2 + 1 = 6 + 1 = 7

we could have also gone the way to bring both equations to the same base of x. that means we have to multiply the first equation by 3/2, so that it also bases on 3x :

(3/2)×2x + (3/2)×13 = (3/2)×17

3x + 39/2 = 51/2

and we compare this to

3x + 1

so, we still need to subtract 37/2 in the first equation on both sides to get the same left side :

3x + 39/3 - 37/2 = 51/2 - 37/2

3x + 2/2 = 14/2

3x + 1 = 7

as you can see, we get the same result, of course.

Answer 2

Answer: 7

Explanation:

First, I am going to solve the equation for x.

`\underline{\textsc{Given Equation:}}`

2x + 13 = 17

Subtract 13 from both sides:

`\sf{2x=17-13}`

`\sf{2x=4}`

Divide both sides by 2:

`\sf{x=2}`

Now, substitute 2 into 3x + 1:

3(2) + 1 = 6 + 1 = 7

Therefore, the value of 3x + 1 when x = 2 is 7.