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What are two different ways 23x=10 could be solved for x?

Question 1 options:

Subtract 3/2 from both sides of the equation


Divide both sides of the equation by 3/2


Divide both sides of the equation by 2/3


Multiply both sides of the equation by 3/2


Multiply both sides of the equation by 2/3


Subtract 2/3 from both sides of the equation

Respuesta :

Answer:

3 & 4

Step-by-step explanation:

Given

[tex]\frac{2}{3}x = 10[/tex]

Required

Determine the number of ways to solve for x

From the list of given options, (1), (2) & (5) are incorrect, as they won't give the solution to the value of x

Option (3) is correct: See below

[tex]\frac{2}{3}x/\frac{2}{3} = 10/\frac{2}{3}[/tex]

[tex]\frac{2}{3}x*\frac{3}{2} = 10 * \frac{3}{2}[/tex]

[tex]x = 10 * \frac{3}{2}[/tex]

[tex]x = \frac{30}{2}[/tex]

[tex]x = 15[/tex]

Option (4) is also correct: See below

[tex]\frac{2}{3}x*\frac{3}{2} = 10 * \frac{3}{2}[/tex]

[tex]x = 10 * \frac{3}{2}[/tex]

[tex]x = \frac{30}{2}[/tex]

[tex]x = 15[/tex]