Question

Which number is a solution to 2x+1=37-4x? 5, 9, 6, 8, or 4..

Answer 1

6.

Explanation:

We are asked to find a number that is a solution to the equation 2x + 1 = 37 - 4x.

First, let's identify a key component, or an important property for a problem like this. Substitution.

What is substitution?

Substitution is replacing a unknown placeholder, or variable with a known value.

For this problem, we are given 5 number values to substitute into the equation. Let's substitute these 5 numbers in, and identify whether or not they are a solution.

Substitute:

Let's start with the number 5.

`2(5)+1=37-4(5)`

Simplify:

`11\\eq 17`

5 is not a solution to this equation.

Substitute:

Let's use the number 9.

`2(9)+1=37-4(9)`

Simplify:

`19\\eq 1`

9 is not a solution to this equation.

Substitute:

Let's use the number 6.

`2(6)+1=37-4(6)`

Simplify:

`13=13 \ \checkmark`

6 is a solution to this equation.

Substitute:

Let's use the number 8.

`2(8)+1=37-4(8)`

Simplify:

`17\\eq 5`

8 is not a solution to this equation.

Substitute:

Lastly, let's use the number 4.

`2(4)+1=37-4(4)`

Simplify:

`9\\eq 21`

4 is not a solution to this equation.

The only possible solution is 6.

Answer 2

the answer is 6, you can look at my work, my hand writing is a little messy tho, sorry.