Question

Find out the value of x in the equations given below.

1. 3x − 5 = 3 +x
2.x/2+5/9=2x/3​

Answer 1

Step-by-step explanation:

see photo step bynstep

Answer 2

$i) Given \: simple \: equation : 3x - 5 = 3 + x$

/* Add bothsides of the equation by 5 , we get */

$\implies 3x - 5 + 5 = 3 + x + 5$

$\implies 3x = 8 + x$

/* Subtract bothsides of equation by x , we get */

$\implies 3x - x = 8 + x - x$

$\implies 2x = 8$

$\implies x = \frac{8}{2}$

$\implies x = 4$

Therefore.,

$\red{ Value\:of \: x }\green { = 4 }$

$2. Given \: \frac{x}{2} + \frac{5}{9} = \frac{2x}{3}$

$\implies \frac{x}{2} - \frac{2x}{3} = -\frac{5}{9}$

$\implies \frac{3x - 4x}{6} = -\frac{5}{9}$

$\implies \frac{ - x}{6} = -\frac{5}{9}$

$\implies x = \Big( -\frac{5}{9}\Big) \times (-6)$

$\implies x = \Big( \frac{5}{3}\Big) \times 2$

$\implies x = \frac{10}{3}$

Therefore.,

$\red{ Value \: of \: x } \green { = \frac{10}{3}}$

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