Question

In the equation 4x-2=3x+1, what is the value of x with which the expressions 4x-2=3x+1 represent the same number? with everything and multiplications please give crown​

Answer 1

The value of x is 3

When x = 3 then both the LHS and RHS of the equation equal to the same number; 10.

Explanation:

`4x - 2 = 3x + 1 \\ 4x - 3x = 1 + 2 \\ x = 3 \\`

When we substitute the value for x in the expression, we see that the expression represents the same number. i.e

`4x - 2 = 3x + 1 \\ 4(3) - 2 = 3(3) + 1 \\ 12 - 2 = 9 + 1 \\10 = 10 \\`

Answer 2

`\sf{\qquad\qquad\huge\underline{{\sf Answer}}}`

An equation is called any equality that contains one or more unknown quantities, which are called unknowns, and that are only generally verified for certain values of the unknowns.

Thus, for example: 4x - 2 = 3x + 1~4x−2=3x+1 is an equation because it is an equality in which there is one unknown, xx .

⇝Equation resolution:

`\qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1</strong></p><p><strong>[tex] \qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1`

We transpose the term 3x to the first member.

3x to the first member.We will have:

`\qquad \sf \dashrightarrow4x - 2 - 3x = 14x−2−3x=1`

Next we transpose the term -2 to the second member.

We will have:

`\qquad \sf \dashrightarrow4x - 3x = 1 + 24x−3x=1+2`

`\qquad \sf \dashrightarrow \: x = 3x = 3`

Let's check that x = 3x=3 satisfies the given equation:

`\qquad \sf \dashrightarrow4x - 2 = 3x + 14x−2=3x+1`

`\qquad \sf \dashrightarrow4(3) - 2 = 3(3) + 14(3)−2=3(3)+1`

`\qquad \sf \dashrightarrow12 - 2 =9+ 112−2=9+1`

`\qquad \sf \dashrightarrow10 = 10 \: \: \: \: \:10=10`

That is, 10 = 10, as we wanted to verify.

I hope I've helped : )