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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

Respuesta :

the answer is C. x=4
lublana

Answer:

[tex]C.x=4[/tex]

Step-by-step explanation:

We are given that an equation

[tex]4x-3=2x+5[/tex]

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

We have to find the solution of given equation.

[tex]4x-3=2x+5[/tex]

[tex]4x-2x-3=5[/tex]

Using subtraction property of equality

[tex]2x-3=5[/tex]

Combine like terms

[tex]2x=5+3[/tex]

Subtraction property of equality

[tex]2x=8[/tex]

Addition property of integers.

[tex]x=\frac{8}{2}=4[/tex]

Division property of equality

Hcene, the solution of given equation is  given by

x=4

Therefore, option C is true.

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