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Maths-

General

Easy

Question

$5 x minus 2 plus 3 x equals 3 left parenthesis x plus 4 right parenthesis plus 5 x minus 10$
Which of the following statements is true about the equation above?

The equation has one solution because a single value of x makes this equation true.
The equation has one solution because the equation is true for all values of x.
The equation has an infinite number of solutions because the equation is true for all values of x.
The equation has no solution because the equation is not true for any value of x.

The correct answer is: The equation has no solution because the equation is not true for any value of x.

HINT: solve the equation
Explanation:
$table attributes columnspacing 1em end attributes row cell 5 x minus 2 plus 3 x equals 3 left parenthesis x plus 4 right parenthesis plus 5 x minus 10 end cell row cell 8 x minus 2 equals 3 x plus 12 plus 5 x minus 10 end cell end table$
$table attributes columnspacing 1em end attributes row cell 8 x minus 2 equals 8 x plus 12 minus 10 end cell row cell 8 x minus 2 equals 8 x plus 2 end cell end table$
Not possible for any value of x.
No solution because not true for any value of x

Related Questions to study

$y equals left parenthesis x plus 5 right parenthesis squared minus 8$
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