GIVING BRAINLIEST 6 times a number, plus 2, is equal to 7 added to 4 times the number.
What is the number?
a. 6x + 2 = 7 + 4x, 3 c. 6x + 2 = 7 + 4x, 2
b. 6x + 2 = 7 + 4x, 2.5 d. 6x − 2 = 7 + 4x, 4.5

Respuesta :

Answer:

b.) [tex]6x+2=4x+7[/tex]  , x=2.5

Step-by-step explanation:

Let the number be 'x'

So, the equation according to the statement is :

[tex]6x+2=4x+7[/tex]

Solving the equation:

[tex]6x-4x=7-2\\\\2x= 5\\\\x=\frac{5}{2} \\\\x=2.5[/tex]

The Equation for the statement is [tex]6x+2=4x+7[/tex] with [tex]x=2.5[/tex].

Answer:

b. 6x + 2 = 7 + 4x, 2.5

Step-by-step explanation:

Let the number be represented by x.

Then 6 times the number plus 2 is expressed as [tex]\[6x+2\][/tex]

Similarly 4 times the number plus 7 is expressed as [tex]\[4x+7\][/tex]

It is given that 6 times the number plus 2 is equal to 4 times the number plus 7.

[tex]\[=> 6x+2=4x+7\][/tex]

Solving the equation,

[tex]\[=> 6x-4x=7-2\][/tex]

[tex]\[=> 2x=5\][/tex]

[tex]\[=> x=2.5\][/tex]

Hence the required number is 2.5 and the correct option is given by b.