Question

What is the solution set for 4x−3=2x+5 , given the replacement set {2, 3, 4, 5} ?

A.x=2
B. x=3
C.x=4
D.x=5

Answer 1

the answer is C. x=4

Answer 2

`C.x=4`

Explanation:

We are given that an equation

`4x-3=2x+5`

The replacement set ={2,3,4,5}

We have to find the solution of given equation.

`4x-3=2x+5`

`4x-2x-3=5`

Using subtraction property of equality

`2x-3=5`

Combine like terms

`2x=5+3`

Subtraction property of equality

`2x=8`

Addition property of integers.

`x=(8)/(2)=4`

Division property of equality

Hcene, the solution of given equation is given by

x=4

Therefore, option C is true.