Question

x-2/3 - 3x+5/6 = -5x-7/18 by cross multiplication method ( ANSWER IS 17 EXPLAIN HOW)​

Answer 1

Answer:

➡x= 17

Step-by-step explanation:

$\frac{x - 2}{3} - \frac{3x + 5}{6} = - \frac{(5x - 7)}{18}$

By taking LCM of the LHS, we get:-

$\frac{2(x - 2) - (3x + 5}{6} = - \frac{(5x - 7)}{18}$

$\frac{2x - 4 - 3x - 5}{6} = \frac{ - 5x + 7}{18}$

Now, by using cross multiplication, we get:-

18(-x-9) = 6(-5x+7)

=> -18x-162 = -30x+42

By moving -30 to LHS and -162 to RHS, we get:-

=> -18x+30x= 42+162

=> 12x = 204

$x = \frac{204}{12} = 17$

Hence, x= 17.

Answer 2

Answer:

Answer:

➡x= 17

Step-by-step explanation:

\frac{x - 2}{3} - \frac{3x + 5}{6} = - \frac{(5x - 7)}{18}

3

x−2

−

6

3x+5

=−

18

(5x−7)

By taking LCM of the LHS, we get:-

\frac{2(x - 2) - (3x + 5}{6} = - \frac{(5x - 7)}{18}

6

2(x−2)−(3x+5

=−

18

(5x−7)

\frac{2x - 4 - 3x - 5}{6} = \frac{ - 5x + 7}{18}

6

2x−4−3x−5

=

18

−5x+7

Now, by using cross multiplication, we get:-

18(-x-9) = 6(-5x+7)

=> -18x-162 = -30x+42

By moving -30 to LHS and -162 to RHS, we get:-

=> -18x+30x= 42+162

=> 12x = 204

x = \frac{204}{12} = 17x=

12

204

=17

Hence, x= 17.