Question

solve and check your solution 3x-2upon2x+1=10upon9​

Answer 1

QUESTION

$\large{ \frac{ \large{3x - 2}}{ \large{2x + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }$

Answer:

$\large \bf \boxed{x = 4}$

Step-by-step explanation:

$\large{10(2x + 1) = 9(3x - 2)}$

$\large{20x + 10 = 27x - 18 }$

$\large{27x - 20x = 10 + 18}$

$\large{7x = 28}$

$\large{ x = \frac{ \large{28}}{ \large{7}} }$

$\large \bf \boxed{x = 4}$

VERIFICATION

$\large{ \frac{ \large{3x - 2}}{ \large{2x + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }$

$\large{ \frac{ \large{3(4) - 2}}{ \large{2(4) + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }$

$\large{ \frac{ \large{12 - 2}}{ \large{8 + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }$

$\boxed{ \bf\large{ \frac{ \large{10}}{ \large{9}} } = \large{ \frac{ \large{10}}{ \large{9}} }}$

hope it helps

Answer 2

QUESTION

\large{ \frac{ \large{3x - 2}}{ \large{2x + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }

Answer:

\large \bf \boxed{x = 4}

Step-by-step explanation:

\large{10(2x + 1) = 9(3x - 2)}

\large{20x + 10 = 27x - 18 }

\large{27x - 20x = 10 + 18}

\large{7x = 28}

\large{ x = \frac{ \large{28}}{ \large{7}} }

\large \bf \boxed{x = 4}

VERIFICATION

\large{ \frac{ \large{3x - 2}}{ \large{2x + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }

\large{ \frac{ \large{3(4) - 2}}{ \large{2(4) + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }

\large{ \frac{ \large{12 - 2}}{ \large{8 + 1}} } = \large{ \frac{ \large{10}}{ \large{9}} }